Question

solve for the value of y.
answer attempt 1 out of 2
y =

Explanation:

Step1: Set up the equation

Since the two angles are complementary (sum to 90°), we have the equation $(7y + 8)+(8y+7)=90$.

Step2: Combine like - terms

Combining the y - terms and the constant terms, we get $(7y+8y)+(8 + 7)=90$, which simplifies to $15y+15 = 90$.

Step3: Isolate the variable term

Subtract 15 from both sides of the equation: $15y+15−15=90 - 15$, resulting in $15y=75$.

Step4: Solve for y

Divide both sides of the equation by 15: $\frac{15y}{15}=\frac{75}{15}$, so $y = 5$.

Answer:

$y = 5$