How do you solve 2x + 3y = 62x+3y=6 and x + y = 3x+y=3 using substitution?

1 Answer
Mar 23, 2018

x = 3, y = 0x=3,y=0

Explanation:

2x + 3y = 62x+3y=6

x + y = 3x+y=3

Let's solve for xx in the second equation

x = 3 - yx=3y

Now let's plug (3-y)(3y) in for xx in the first equation

2(3-y) + 3y = 62(3y)+3y=6

6 - 2y + 3y = 662y+3y=6

y = 0y=0

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Now we have yy, let's find xx

x = 3 - yx=3y

x = 3 - 0x=30

x = 3x=3

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Let's double check our work and use our xx and yy values in the first equation and solve it. If our numbers are correct, the equation should equal 66

#2(3) + 3(0)

6 + 06+0

6 = 66=6! We were right!