Answer:
x = 22
y = 10
SOLVE BY SUBSTITUTION
Let x and y be the two numbers
x + y = 32
x - y = 12
1. Subtract y from both sides of the equation.
x = 32 - y
2. Replace all occurences of x in x - y = 12 with 32 - y
(32 - y) - y = 12
3. Solve for y in the first equation. Subtract 32 from both sides of the equation.
-2y = 12 - 32
4. Subtract 32 from 12
-2y = -20
5. Divide each term by -2 and simplify.
6. Replace all occurences of y with 10.
x = 32 - (10)
7. Subtract 10 from 32
Step-by-step explanation:
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
Answer:
x = 22
y = 10
SOLVE BY SUBSTITUTION
Let x and y be the two numbers
x + y = 32
x - y = 12
1. Subtract y from both sides of the equation.
x = 32 - y
x - y = 12
2. Replace all occurences of x in x - y = 12 with 32 - y
(32 - y) - y = 12
x = 32 - y
3. Solve for y in the first equation. Subtract 32 from both sides of the equation.
-2y = 12 - 32
x = 32 - y
4. Subtract 32 from 12
-2y = -20
x = 32 - y
5. Divide each term by -2 and simplify.
y = 10
x = 32 - y
6. Replace all occurences of y with 10.
x = 32 - (10)
y = 10
7. Subtract 10 from 32
x = 22
y = 10
Answer:
22 10
Step-by-step explanation:
22 + 10 = 32
22 - 10 = 12