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Y=1/8x-1 and -x+3y=6

User Cforbish
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To find the solution for the system of equations, substitute the expression for y from the first equation into the second equation, simplify, and solve for x. The values are x = 14.4 and y = 4/5.

To find the values of x and y that satisfy both equations, we can substitute the expression for y from the first equation into the second equation:

Start with the equation y = 1/8x - 1.

Substitute this expression for y into the second equation: -x + 3y = 6.

Replace y with 1/8x - 1: -x + 3(1/8x - 1) = 6.

Simplify the equation: -x + 3/8x - 3 = 6.

Combine like terms: 5/8x - 3 = 6.

Add 3 to both sides: 5/8x = 9.

Multiply both sides by 8/5 to isolate x: x = 72/5 = 14.4.

Now that we have the value of x, we can substitute it back into the first equation to find y:

y = 1/8(14.4) - 1 = 1/8 * 72/5 - 1 = 9/5 - 1 = 9/5 - 5/5 = 4/5.

So, the solution to the system of equations is x = 14.4 and y = 4/5.

Complete question:

Given the system of equations:

y = 1/8x - 1

-x + 3y = 6

What are the values of x and y that satisfy both equations?

User Ana Koridze
by
8.1k points

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