Question

17 solve the following equation for y. show your work.
-3x + 5y = -10

18 solve the following equation for x. use paper to record your work.
x + 8y = 24

Explanation:

Question 17

Step1: Isolate the term with y

We start with the equation \(-3x + 5y = -10\). To isolate the term with \(y\), we add \(3x\) to both sides of the equation.

$$ -3x + 5y+3x = - 10 + 3x $$

Simplifying the left - hand side, the \(-3x\) and \(+3x\) cancel out, and we get \(5y=3x - 10\).

Step2: Solve for y

Now, to solve for \(y\), we divide both sides of the equation \(5y = 3x-10\) by 5.

$$ y=\frac{3x - 10}{5}=\frac{3}{5}x-2 $$

Step1: Isolate x

We have the equation \(x + 8y=24\). To isolate \(x\), we subtract \(8y\) from both sides of the equation.

$$ x+8y - 8y=24 - 8y $$

Simplifying the left - hand side, the \(+8y\) and \(-8y\) cancel out, and we are left with \(x = 24-8y\).

Answer:

\(y = \frac{3}{5}x - 2\)

Question 18