Q:

Solve the system of equations using substitution.y = 2x - 10y = 4x - 8(-1, -12)(-4,-17)(3,4)(3,-4)

Accepted Solution

A:
Answer:x = -1 , y = -12Step-by-step explanation using substitution:Solve the following system: {y = 2 x - 10 y = 4 x - 8 Hint: | Perform a substitution. Substitute y = 2 x - 10 into the second equation: {y = 2 x - 10 2 x - 10 = 4 x - 8 Hint: | Choose an equation and a variable to solve for. In the second equation, look to solve for x: {y = 2 x - 10 2 x - 10 = 4 x - 8 Hint: | Isolate x to the left hand side. Subtract 4 x - 10 from both sides: {y = 2 x - 10 -2 x = 2 Hint: | Solve for x. Divide both sides by -2: {y = 2 x - 10 x = -1 Hint: | Perform a back substitution. Substitute x = -1 into the first equation: {y = -12 x = -1 Hint: | Sort results. Collect results in alphabetical order: Answer: {x = -1 , y = -12