# 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

## HELP ME PLEASE.

2x = 10

## To solve the system of equations using the substitution method:

1. Start with the second equation: y = x + 8

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.