Answer :
Problem one:
1.) Isolate one variable of one equation
x+y-x=-1-x
y=-1-x
2.) Plug in equation for isolated value into other original equation
3x-2(-1-x)=2
3.) Distribute
3x+2+2x=2
4.) Add like terms
5x+2=2
5.) Subtract two from both side
5x=0
6.) Divide both sides by 5
x=0
7.) Plug in numerical value for x into one equation (original or not)
0+y=1
8.) Subtract zero from both sides
y=1
For the first problem, the answer is: x=0, y = 1
For the second problem, follow very similar steps:
3(y-2)-4y=-13
3y-6-4y=-13
-y-6=-13
-y=-7
y=7
x=y-2
x=7-2
x=5
That's your answer for the second problem: x=5, y=7
Hope this helps!
1.) Isolate one variable of one equation
x+y-x=-1-x
y=-1-x
2.) Plug in equation for isolated value into other original equation
3x-2(-1-x)=2
3.) Distribute
3x+2+2x=2
4.) Add like terms
5x+2=2
5.) Subtract two from both side
5x=0
6.) Divide both sides by 5
x=0
7.) Plug in numerical value for x into one equation (original or not)
0+y=1
8.) Subtract zero from both sides
y=1
For the first problem, the answer is: x=0, y = 1
For the second problem, follow very similar steps:
3(y-2)-4y=-13
3y-6-4y=-13
-y-6=-13
-y=-7
y=7
x=y-2
x=7-2
x=5
That's your answer for the second problem: x=5, y=7
Hope this helps!
1x + 1y = -1 ⇒ 3x - 3y = -3
3x - 2y = 2 ⇒ 3x - 2y = 2
-y = -5
y = 5
3x - 2(5) = 2
3x - 10 = 2
+10 +10
3x = 12
3 3
x = 4
(x , y) = (4, 5)
1x - 1y = -2 ⇒ 3x - 3y = -6
3x - 4y = -13 ⇒ 3x - 4y = -13
y = 7
3x - 4(7) = -13
3x - 28 = -13
+28 +28
3x = 15
3 3
x = 5
(x, y) = (5, 7)
3x - 2y = 2 ⇒ 3x - 2y = 2
-y = -5
y = 5
3x - 2(5) = 2
3x - 10 = 2
+10 +10
3x = 12
3 3
x = 4
(x , y) = (4, 5)
1x - 1y = -2 ⇒ 3x - 3y = -6
3x - 4y = -13 ⇒ 3x - 4y = -13
y = 7
3x - 4(7) = -13
3x - 28 = -13
+28 +28
3x = 15
3 3
x = 5
(x, y) = (5, 7)