Question

1. for each systems of equations below, choose the best method for solving and solve. show your work. a. 3x+y=24 -x-y=-10

Explanation:

Step1: Add the two equations

$$(3x + y) + (-x - y) = 24 + (-10)$$
Simplify: $2x = 14$

Step2: Solve for $x$

$$x = \frac{14}{2} = 7$$

Step3: Substitute $x=7$ into first equation

$$3(7) + y = 24$$
Simplify: $21 + y = 24$

Step4: Solve for $y$

$$y = 24 - 21 = 3$$

Answer:

$x=7$, $y=3$