Use the Substitution method to solve the system of equations.

x + y = -4
x - y = 2

PLz HELP!!

I'M NOT BOB BUT I CAN HELP

ITS REALLY SIMPLE ALGEBRA

X + Y = -4......EQN 1
X - Y = 2.....EQN 2

From EQN 2, let
x = 2 + y

Substitute that into EQN 1

x - y = -4
(2+y) + y= -4
2 + 2y= -4
2y = -4-2
y = -6/2
y = -3

SUBST y= -3 in EQN 2

x -(-3) = 2
x + 3 = 2
x = 2-3

x= -1

Therefore

y = -3 and x = -1

x + y = -4
(2+y) + y= -4
2 + 2y= -4
2y = -4-2
y = -6/2
y = -3

Thanks,what abou this one?

Use the Substitution method to solve the system of equations.

x + y = 10
y = x + 8

Thanks,what abou this one?

Use the Substitution method to solve the system of equations.

x + y = 10
y = x + 8

just use the ones she helped you with before.

minus y on each side of one equation (IE x+y=10 is now x=10-y.

then fill in the 10-y for x in the second equation.

May be 2

help

x+y=10
y=x+8
I think it goes like this
x+x+8=10
2x+8=10
2x=10-8
2x=2 divide both sides by 2
x=1
1+y=10
y=10-1
y=9
x+y=10 replaced 1+9=10
y=x+8 replaced 9=1+8
was this a real problem to solve, or are you just testing me?

x+y=10
y=x+8
I think it goes like this
x+x+8=10
2x+8=10
2x=10-8
2x=2 divide both sides by 2
x=1
1+y=10
y=10-1
y=9
x+y=10 replaced 1+9=10
y=x+8 replaced 9=1+8
was this a real problem to solve, or are you just testing me?

x+y=10
y=x+8
I think it goes like this
x+x+8=10 (y is replaced by x+8)
2x+8=10 (add the x's to get 2x)
2x=10-8 (move 8 to the other side)
2x=2 divide both sides by 2
x=1
1+y=10
y=10-1
y=9
x+y=10 replaced 1+9=10
y=x+8 replaced 9=1+8
was this a real problem to solve, or are you just testing me?

x + 2 = -4 x - (-4) = 2
x + 2 - 2 = -4 - 2 x - (-4) + 4 = 2 + 4
x = 6 x = 6

checked: checked:
(-6) + 2 = -4 (6) - (-4) = 2
-4 = -4 2 = 2

2x = 10

To solve the system of equations using the substitution method:

2. Substitute this value of y into the first equation:
x + (x + 8) = 10
3. Combine like terms:
2x + 8 = 10
4. Subtract 8 from both sides:
2x = 2
5. Divide both sides by 2:
x = 1
6. Substitute the value of x back into the second equation to find y:
y = 1 + 8
y = 9

So, the solution to the system of equations is x = 1 and y = 9.

To solve the system of equations using the Substitution method, follow these steps:

1. Choose one equation and solve it for one variable in terms of the other variable.
In this case, let's choose the second equation: y = x + 8.

2. Substitute the expression for the variable obtained in step 1 into the other equation.
Substituting y = x + 8 into the first equation: x + (x + 8) = 10.

3. Simplify and solve the resulting equation.
Combine like terms: 2x + 8 = 10.
Subtract 8 from both sides: 2x = 2.
Divide both sides by 2: x = 1.

4. Substitute the value obtained in step 3 into one of the original equations to solve for the other variable.
Substituting x = 1 into the equation y = x + 8: y = 1 + 8.
Simplify: y = 9.

5. Verify your solution by substituting the values of x and y into both equations.
Substituting x = 1 and y = 9 into the first equation: 1 + 9 = 10 (which is true).
Substituting x = 1 and y = 9 into the second equation: 9 = 1 + 8 (which is true).

Therefore, the solution to the system of equations is x = 1 and y = 9.