Solve. y = 4 –8x + 7y = –12 (_____, _____)

Substitute y = 4: First, we substitute y = 4 into the equation -8x + 7y = -12. This gives us -8x + 7(4) = -12. After simplifying, we get -8x + 28 = -12.Isolate -8x: Next, we subtract 28 from both sides of the equation to isolate -8x. This gives us -8x = -12 - 28. After simplifying, we get -8x = -40.Solve for x: Finally, we divide both sides of the equation by -8 to solve for x. This gives us x = -40 / -8. After simplifying, we get x = 5.Find coordinate point: We found y = 4 and x = 5. Substitute these values in (x, y) to get the coordinate point. This gives us the coordinate point (5, 4).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve. $\newline$ $y = 4$ $\newline$ $–8x + 7y = –12$ $\newline$ (_, _)

View step-by-step help

Home

Math Problems

Algebra 2

Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = 4

\newline

–8x + 7y = –12

\newline

(_____, _____)

Substitute $y = 4$ : First, we substitute $y = 4$ into the equation $-8x + 7y = -12$ . This gives us $-8x + 7(4) = -12$ . After simplifying, we get $-8x + 28 = -12$ .
Isolate $-8x$ : Next, we subtract $28$ from both sides of the equation to isolate $-8x$ . This gives us $-8x = -12 - 28$ . After simplifying, we get $-8x = -40$ .
Solve for x: Finally, we divide both sides of the equation by $-8$ to solve for $x$ . This gives us $x = -40 / -8$ . After simplifying, we get $x = 5$ .
Find coordinate point: We found $y = 4$ and $x = 5$ . Substitute these values in $(x, y)$ to get the coordinate point. $\newline$ This gives us the coordinate point $(5, 4)$ .