Question

question 6 of 10
solve the following system of equations. enter the y-coordinate of the solution. round your answer to the nearest tenth.
$5x + 2y = 21$
$- 2x + 6y = -34$

Explanation:

Step1: Eliminate x by multiplying equations

Multiply the first equation \(5x + 2y = 21\) by 2: \(10x + 4y = 42\)
Multiply the second equation \(-2x + 6y = -34\) by 5: \(-10x + 30y = -170\)

Step2: Add the two new equations

Add \(10x + 4y = 42\) and \(-10x + 30y = -170\):
\((10x - 10x)+(4y + 30y)=42 + (-170)\)
\(34y=-128\)

Step3: Solve for y

Divide both sides by 34: \(y=\frac{-128}{34}\approx - 3.8\)

Answer:

\(-3.8\)