Question

NEED HELP ASAP Use the substitution method to solve the given system of equations. Express non-integer values as fractions in lowest terms.

4x + 2y = 7
y = 5x

A. (1/2, 5/2)

B. (2, 10)

C. (7/11, 35/11)

D. (2/5, 2)​

Answer 1

A. (1/2, 5/2)

Explanation:

Let's solve your system by substitution.

4x+2y=7;y=5x

Rewrite equations:

y=5x;4x+2y=7

Step: Solvey=5xfor y:

y=5x

Step: Substitute5xforyin4x+2y=7:

4x+2y=7

4x+25x=7

14x=7(Simplify both sides of the equation)

14x/14 = 7/14

(Divide both sides by 14)

x=1/2

Step: Substitute 1/2 for x in y=5x:

y=5x

y=5(1/2)

y=5/2

(Simplify both sides of the equation)