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20 votes
Solve the system by substitution:
3x + 2y = 26
Y=x + 3

User Caridorc
by
3.2k points

2 Answers

5 votes

Answer

x=4, Y=7

Explanation:

3x + 2y = 26

Y=x + 3

3x+2(x+3)=26

3x+2x+6=26

5x=20

x=4

Y=4+3

Y=7

Check

3(4)+2(7)=26

12+14=26

26=26

User Ninjaxelite
by
3.3k points
5 votes

Answer:

x = 4

Explanation:

3x + 2y = 26

y = x + 3

Plug in the equation for y

3x + 2(x + 3) = 26

Multiply the 2 with what is in the parantheses

3x + 2x + 6 = 26

Combine like terms and solve for x

5x + 6 = 26

5x = 20

x = 4

User Johnnycardy
by
3.5k points