Question

solve by elimination
two times a number added to another number is 25. three times the first
number minus the
other number is 20. find the numbers.

select both answers

□ 2
□ 6
□ 9
□ 12
□ 4
□ 7
□ 8
□ 1
□ 11
□ 5

Explanation:

Step1: Define variables

Let the first number be $x$, the second be $y$.

Step2: Write system of equations

$2x + y = 25$
$3x - y = 20$

Step3: Eliminate $y$ by adding equations

$(2x + y) + (3x - y) = 25 + 20$
$5x = 45$

Step4: Solve for $x$

$x = \frac{45}{5} = 9$

Step5: Substitute $x$ to find $y$

$2(9) + y = 25$
$18 + y = 25$
$y = 25 - 18 = 7$

Answer:

☑ 9
☑ 7