Question

solve the system of equations using addition.$x+y=7$$x-y=5$the solution is $\boldsymbol{\square}$. (type an ordered pair.)

Explanation:

Step1: Add the two equations

$$(x + y) + (x - y) = 7 + 5$$
$$2x = 12$$

Step2: Solve for x

$$x = \frac{12}{2} = 6$$

Step3: Substitute x into first equation

$$6 + y = 7$$

Step4: Solve for y

$$y = 7 - 6 = 1$$

Answer:

$(6, 1)$