Casio FX-9750GII-SC User Guide - Page 103

Equation Calculations, 1. Simultaneous Linear Equations,

Page 103 highlights

Chapter 4 Equation Calculations From the Main Menu, enter the EQUA mode. • {SIML} ... {linear equation with 2 to 6 unknowns} • {POLY} ... {degree 2 to 6 equation} • {SOLV} ... {solve calculation} 1. Simultaneous Linear Equations You can solve simultaneous linear equations with two to six unknowns. • Simultaneous Linear Equation with Two Unknowns: a1x + b1y = c1 a2x + b2y = c2 • Simultaneous Linear Equation with Three Unknowns: a1x + b1y + c1z = d1 a2x + b2y + c2z = d2 a3x + b3y + c3z = d3 4 ... 1. From the Main Menu, enter the EQUA mode. 2. Select the SIML (Simultaneous) mode, and specify the number of unknowns (variables). You can specify from 2 to 6 unknowns. 3. Sequentially input the coefficients. • The cell that is currently selected for input is highlighted. Each time you input a coefficient, the highlighting shifts in the sequence: a1 m b1 m c1 m ... an m bn m cn m (n = 2 to 6) • You can also input fractions and values assigned to variables as coefficients. • You can cancel the value you are inputting for the current coefficient by pressing ) at any time before you press U to store the coefficient value. This returns to the coefficient to what it was before you input anything. You can then input another value if you want. • To change the value of a coefficient that you already stored by pressing U, move the cursor to the coefficient you want to edit. Next, input the value you want to change to. • Pressing (CLR) clears all coefficients to zero. 4. Solve the equations. Example To solve the following simultaneous linear equations for x, y, and z 4x + y - 2z = - 1 x + 6y + 3z = 1 - 5x + 4y + z = - 7 4-1

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
  • 29
  • 30
  • 31
  • 32
  • 33
  • 34
  • 35
  • 36
  • 37
  • 38
  • 39
  • 40
  • 41
  • 42
  • 43
  • 44
  • 45
  • 46
  • 47
  • 48
  • 49
  • 50
  • 51
  • 52
  • 53
  • 54
  • 55
  • 56
  • 57
  • 58
  • 59
  • 60
  • 61
  • 62
  • 63
  • 64
  • 65
  • 66
  • 67
  • 68
  • 69
  • 70
  • 71
  • 72
  • 73
  • 74
  • 75
  • 76
  • 77
  • 78
  • 79
  • 80
  • 81
  • 82
  • 83
  • 84
  • 85
  • 86
  • 87
  • 88
  • 89
  • 90
  • 91
  • 92
  • 93
  • 94
  • 95
  • 96
  • 97
  • 98
  • 99
  • 100
  • 101
  • 102
  • 103
  • 104
  • 105
  • 106
  • 107
  • 108
  • 109
  • 110
  • 111
  • 112
  • 113
  • 114
  • 115
  • 116
  • 117
  • 118
  • 119
  • 120
  • 121
  • 122
  • 123
  • 124
  • 125
  • 126
  • 127
  • 128
  • 129
  • 130
  • 131
  • 132
  • 133
  • 134
  • 135
  • 136
  • 137
  • 138
  • 139
  • 140
  • 141
  • 142
  • 143
  • 144
  • 145
  • 146
  • 147
  • 148
  • 149
  • 150
  • 151
  • 152
  • 153
  • 154
  • 155
  • 156
  • 157
  • 158
  • 159
  • 160
  • 161
  • 162
  • 163
  • 164
  • 165
  • 166
  • 167
  • 168
  • 169
  • 170
  • 171
  • 172
  • 173
  • 174
  • 175
  • 176
  • 177
  • 178
  • 179
  • 180
  • 181
  • 182
  • 183
  • 184
  • 185
  • 186
  • 187
  • 188
  • 189
  • 190
  • 191
  • 192
  • 193
  • 194
  • 195
  • 196
  • 197
  • 198
  • 199
  • 200
  • 201
  • 202
  • 203
  • 204
  • 205
  • 206
  • 207
  • 208
  • 209
  • 210
  • 211
  • 212
  • 213
  • 214
  • 215
  • 216
  • 217
  • 218
  • 219
  • 220
  • 221
  • 222
  • 223
  • 224
  • 225
  • 226
  • 227
  • 228
  • 229
  • 230
  • 231
  • 232
  • 233
  • 234
  • 235
  • 236
  • 237
  • 238
  • 239
  • 240
  • 241
  • 242
  • 243
  • 244
  • 245
  • 246
  • 247
  • 248
  • 249
  • 250
  • 251
  • 252
  • 253
  • 254
  • 255
  • 256
  • 257
  • 258
  • 259
  • 260
  • 261
  • 262
  • 263
  • 264
  • 265
  • 266
  • 267
  • 268
  • 269
  • 270
  • 271
  • 272
  • 273
  • 274
  • 275
  • 276
  • 277
  • 278
  • 279
  • 280
  • 281
  • 282
  • 283
  • 284
  • 285
  • 286
  • 287
  • 288
  • 289
  • 290
  • 291
  • 292
  • 293
  • 294
  • 295
  • 296
  • 297
  • 298
  • 299
  • 300
  • 301
  • 302
  • 303
  • 304
  • 305
  • 306
  • 307
  • 308
  • 309
  • 310
  • 311
  • 312
  • 313
  • 314
  • 315
  • 316
  • 317
  • 318
  • 319
  • 320
  • 321
  • 322
  • 323
  • 324
  • 325
  • 326
  • 327
  • 328
  • 329
  • 330
  • 331
  • 332
  • 333
  • 334
  • 335
  • 336
  • 337
  • 338
  • 339
  • 340
  • 341
  • 342
  • 343
  • 344
  • 345
  • 346
  • 347
  • 348
  • 349
  • 350
  • 351
  • 352
  • 353
  • 354
  • 355
  • 356
  • 357
  • 358
  • 359
  • 360
  • 361
  • 362
  • 363
  • 364
  • 365
  • 366
  • 367
  • 368
  • 369
  • 370
  • 371
  • 372
  • 373
  • 374
  • 375
  • 376
  • 377
  • 378
  • 379
  • 380
  • 381
  • 382
  • 383
  • 384
  • 385
  • 386
  • 387
  • 388
  • 389
  • 390
  • 391
  • 392
  • 393
  • 394
  • 395
  • 396
  • 397
  • 398
  • 399
  • 400
  • 401
  • 402

4-1
Chapter 4
Equation Calculations
From the Main Menu, enter the
EQUA
mode.
•{
SIML
} ... {linear equation with 2 to 6 unknowns}
•{
POLY
} ... {degree 2 to 6 equation}
•{
SOLV
} ... {solve calculation}
1. Simultaneous Linear Equations
You can solve simultaneous linear equations with two to six unknowns.
• Simultaneous Linear Equation with Two Unknowns:
a
1
x
+
b
1
y
=
c
1
a
2
x
+
b
2
y
=
c
2
• Simultaneous Linear Equation with Three Unknowns:
a
1
x
+
b
1
y
+
c
1
z
=
d
1
a
2
x
+
b
2
y
+
c
2
z
=
d
2
a
3
x
+
b
3
y
+
c
3
z
=
d
3
1. From the Main Menu, enter the
EQUA
mode.
2. Select the SIML (Simultaneous) mode, and specify the number of unknowns (variables).
You can specify from 2 to 6 unknowns.
3. Sequentially input the coefficients.
• The cell that is currently selected for input is highlighted. Each time you input a coefficient,
the highlighting shifts in the sequence:
a
1
b
1
c
1
a
n
b
n
c
n
(
n
= 2 to 6)
• You can also input fractions and values assigned to variables as coefficients.
• You can cancel the value you are inputting for the current coefficient by pressing
at
any time before you press
to store the coefficient value. This returns to the coefficient
to what it was before you input anything. You can then input another value if you want.
• To change the value of a coefficient that you already stored by pressing
, move the
cursor to the coefficient you want to edit. Next, input the value you want to change to.
• Pressing
(CLR) clears all coefficients to zero.
4. Solve the equations.
Example
To solve the following simultaneous linear equations for
x
,
y
, and
z
4
x
+
y
–2
z
= – 1
x
+6
y
+3
z
=
1
– 5
x
+4
y
+
z
= – 7
4