Question

1. $-15x + 8y = -8$

$-5x - 5y = 5$
a) $(0, -1)$ b) $(-1, 8)$
c) $(-1, 0)$ d) $(-1, 1)$

Explanation:

Step1: Simplify the second equation

Divide the second equation \(-5x - 5y = 5\) by \(-5\), we get \(x + y=- 1\), which can be rewritten as \(x=-1 - y\).

Step2: Substitute into the first equation

Substitute \(x = - 1-y\) into the first equation \(-15x + 8y=-8\).
We have \(-15(-1 - y)+8y=-8\).
Expand the left - hand side: \(15 + 15y+8y=-8\).
Combine like terms: \(15+23y=-8\).
Subtract 15 from both sides: \(23y=-8 - 15=-23\).
Divide both sides by 23: \(y=-1\).

Step3: Find the value of x

Substitute \(y = - 1\) into \(x=-1 - y\), we get \(x=-1-(-1)=0\).

Answer:

A) \((0, - 1)\)