Solve the following simultaneous equations: (1)(1)3𝑥−8𝑦3x−8y==2929 (2)(2)𝑥x==𝑦−2y−2

Question

Solve the following simultaneous equations:

$3x - 8y = 29$
$x = y - 2$

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Solution

Sure, let's solve these equations step by step.

We have two equations:

3x - 8y = 29 (equation 1)

x = y - 2 (equation 2)
From equation 2, we can express x in terms of y.
We substitute equation 2 into equation 1:

3(y - 2) - 8y = 29 3y - 6 - 8y = 29 -5y - 6 = 29 -5y = 35 y = -7
Substitute y = -7 into equation 2 to find x:

x = -7 - 2 x = -9

So, the solution to the system of equations is x = -9 and y = -7.

This problem has been solved

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Solve the following simultaneous equations: (1)(1)3𝑥−8𝑦3x−8y==2929 (2)(2)𝑥x==𝑦−2y−2

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