Math

Question Solve the system of linear equations: 8x=7x+10,x=10-8x = -7x + 10, x = 10. Find the values of x,Xx, X.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation 8x=7x+10-8x = -7x + 10.
2. We need to solve for the variable xx.

STEP 2

To solve for xx, we need to isolate the variable on one side of the equation. We can do this by adding 8x8x to both sides of the equation to move all xx terms to one side.
8x+8x=7x+10+8x-8x + 8x = -7x + 10 + 8x

STEP 3

Simplify both sides of the equation by combining like terms.
0=x+100 = x + 10

STEP 4

Now, we subtract 1010 from both sides of the equation to solve for xx.
x+1010=010x + 10 - 10 = 0 - 10

STEP 5

Simplify both sides of the equation to find the value of xx.
x=10x = -10
The solution to the equation 8x=7x+10-8x = -7x + 10 is x=10x = -10.

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