Question

Show each step of your thinking in your work.

Solve the following system of equations for x and y.

5x + 8y = 40

x - 8y = 20

Answer 1

Answer:

$x = 60 \div 11 \\ y = 70 \div 11$

Step-by-step explanation:

$5x + 8y = 40 \\ x - 8y = 20 \\ adding \: these \: two \: equaions \\( 5x + 6x) + (8y - 8y) = 40 + 20 \\ 11x = 60 \\ x = 60 \div 11 \\ substitute \: tge \: valueof \: x \: in \: any \: one \: of \: the \: given \: equations \\ (5 \times 60 \div 11) + 8y = 40 \\( 300 \div 11) + 8y = 40 \\ 8y = 40 - 300 \div 11 \\ 8y = (440 - 300) \div 11 \\ 8y = 140 \div 11 \\ y = 140 \div 88 \\ y = 70 \div 11$