Answer:
B. (1 , 3 )
Step-by-step explanation:
Step 1 Rearrange.
[tex]x + 3y = 10 \: \: (1) \\ y = x + 2 \: \: \: (2) \\ x + 3y = 10 \: \: (1)\\ x - y = - 2 \: \: \: (2)\\ [/tex]
Step 2 : Multiply equation 1 by the coefficient of x in equation 2
Step 2 : Multiply equation 1 by the coefficient of x in equation 2Multiply equation 2 by the coefficient of x in equation 1
Step 3 : Subtract equation 4 from equation 3 and solve for y
[tex]x + 3y = 10 \: \: (3)\\ x - y = - 2 \: \: \: (4) \\ 4y = 12 \\ \frac{4y}{4} = \frac{12}{4} \\ [/tex]
Substitute the value for y in to equation 1. or equation 2 and solve for x .
[tex]y = 3 \\substitute \: 3 \: for \: y \: \\ in \: eq \: 1 \: or \: 2 \\ x + 3y = 10 \\ x + 3(3) = 10[/tex]
[tex]x + 9 = 10 \\ x = 10 - 9 \\ x = 1 \\ \\ (x \: y) = (1 \: \: 3)[/tex]
