2х+у=91 х+2у=62 y-2z=9 y+x*z=?

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вопрос

To find the value of y + x*z, we first need to solve the system of equations given:

2x + y = 91
x + 2y = 62
y - 2z = 9

From the first equation:
y = 91 - 2x

Substitute y = 91 - 2x into the second equation:
x + 2(91 - 2x) = 62
x + 182 - 4x = 62
-3x = -120
x = 40

Substitute x = 40 back into y = 91 - 2x:
y = 91 - 2(40)
y = 91 - 80
y = 11

Now, substitute x = 40 into the third equation:
11 - 2z = 9
-2z = -2
z = 1

Finally, calculate y + xz:
y + xz = 11 + 40*1 = 11 + 40 = 51

Therefore, y + x*z = 51.