Solve by Substitution x-4y=-16 , -4x-6y=-2

Problem

{[x−4*y=−16],[−4*x−6*y=−2])

Solution

1. Isolate the variable x in the first equation by adding 4*y to both sides.

x=4*y−16

2. Substitute the expression for x into the second equation.

−4*(4*y−16)−6*y=−2

3. Distribute the −4 through the parentheses.

−16*y+64−6*y=−2

4. Combine the like terms involving y

−22*y+64=−2

5. Subtract 64 from both sides of the equation.

−22*y=−66

6. Divide by −22 to solve for y

y=3

7. Substitute the value of y back into the isolated equation for x

x=4*(3)−16

8. Simplify the expression to find the value of x

x=12−16

x=−4

Final Answer

(x,y)=(−4,3)

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