Question

question 9
0.42 points
solve and check the equation.
4(2y - 2)=7(y + 5)
enter answer
question 10
0.41 points
solve the equation.
6p - 5 = 7p - 8
enter answer

Explanation:

Question 9

Step1: Expand both sides

$4(2y - 2)=8y-8$ and $7(y + 5)=7y + 35$, so the equation becomes $8y-8=7y + 35$.

Step2: Isolate the variable y

Subtract $7y$ from both sides: $8y-7y-8=7y-7y + 35$, which simplifies to $y-8=35$.

Step3: Solve for y

Add 8 to both sides: $y-8 + 8=35+8$, so $y = 43$.

Step4: Check the solution

Substitute $y = 43$ into the original equation. Left - hand side: $4(2\times43-2)=4(86 - 2)=4\times84 = 336$. Right - hand side: $7(43 + 5)=7\times48=336$.

Step1: Isolate the variable p

Subtract $6p$ from both sides of the equation $6p - 5=7p - 8$: $6p-6p - 5=7p-6p - 8$, which simplifies to $-5=p - 8$.

Step2: Solve for p

Add 8 to both sides: $-5 + 8=p-8 + 8$, so $p=3$.

Answer:

$43$

Question 10