Question

solve by elimination
x + y = 3
x - 3y = -29
○ (1,5)
○ (3,2)
○ (2,5)
○ (-5,8)
○ (-4,-1)
○ (3,-1)
○ (4,1)
○ (1,-3)
○ (-5,4)
○ (0,-2)
○ no solution
○ infinite solutions

Explanation:

Step1: Write given equations

Equation 1: $x + y = 3$
Equation 2: $x - 3y = -29$

Step2: Subtract Equation 2 from 1

$(x + y) - (x - 3y) = 3 - (-29)$
$x + y - x + 3y = 3 + 29$
$4y = 32$

Step3: Solve for y

$y = \frac{32}{4} = 8$

Step4: Substitute y=8 into Equation 1

$x + 8 = 3$
$x = 3 - 8 = -5$

Answer:

(-5,8)