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3x+2y=1 x+y=3 solve please ​

User Bhdrk
by
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1 Answer

7 votes

Answer:

hope this helps, your answer should be (-5,8)

x = -5, y = 8

Explanation:

we're gonna start by subtracting

3x + 2y = 1 x+y=3

Rewrite the equation:

x + y = 3 , 3 x + 2 = 1

Step: Solve x + y = 3 for x:

x + y = 3

x + y + −y = 3 + −y (Add -y to both sides)

x = −y + 3

Step: Substitute −y + 3 for x in 3x + 2y = 1:

3x + 2y = 1

3 (−y + 3) + 2y = 1

−y + 9 = 1 (Simplify both sides of the equation)

−y + 9 + −9 = 1 + −9 (Add -9 to both sides)

−y = −8

−y/−1 = −8/−1 (Divide both sides by -1)

y=8

Step: Substitute 8 for y in x=−y+3:

x = −y + 3

x = −8 + 3

x = −5 (Simplify both sides of the equation)

User Dpapadopoulos
by
6.7k points