Question

8x-5y=37 x=2y+6 substitution

Answer 1

To solve the system of equations 8x - 5y = 37 and x = 2y + 6 using substitution, substitute the value of x from the second equation into the first equation to get an equation with only one variable. Then, solve for that variable and substitute the value back into one of the original equations to find the other variable.

Step-by-step explanation:

Given the equations 8x - 5y = 37 and x = 2y + 6, we can use substitution to solve for the values of x and y.

Step 1: Substitute the value of x from the second equation into the first equation.

8(2y + 6) - 5y = 37

Simplify the equation: 16y + 48 - 5y = 37

Combine like terms: 11y + 48 = 37

Step 2: Solve for y by isolating the variable.

Subtract 48 from both sides: 11y = 37 - 48 = -11

Divide both sides by 11: y = -1

Step 3: Substitute the value of y into the second equation to find the value of x.

x = 2(-1) + 6 = 4

Therefore, the solution to the system of equations is x = 4 and y = -1.

Answer 2

Solve for the first variable in one of the equations, then sub the result into the other equation.

point form- (4,-1)

equation form- x=4, y=-1

Step-by-step explanation:

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