2x+3y=12 x−y=1x−y=1

Khaleesi Herbert

Khaleesi Herbert

Answered question

2021-01-19

2x+3y=12
x−y=1x−y=1

Answer & Explanation

irwchh

irwchh

Skilled2021-01-20Added 102 answers

To solve a system of equations, use the substitution method or the elimination method. When one of the equations can be easily solved for a variable, you should use the substitution method. When neither equation can be easily solved for a variable or if the equations have the same or opposite coefficients for one of the variables, you should use the elimination method.
The second equation of x−y=1 can be easily solved for x so you should use the substitution method.
Adding y on both sides of x−y=1 to solve for xx gives x=y+1.
Replace x in the first equation of 2x+3y=12 with y+1 and then solve for y:
2x+3y=12
2(y+1)+3y=12
2y+2+3y=12
5y+2=12
5y=10
y=2
Now that you have the value of yy, you can substitute it into x=y+1 to find the value of x. This gives x=y+1=2+1=3.
The solution of the system is then (x,y)=(3,2). ​

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