solve for elimination and substitution, .

x = 1.25

y = 2.5

(1.25, 2.5)

Step-by-step explanation:

ELIMINATION

To use elimination, multiply or divide the entire equation until either the "x" or the "y" are the same in both equations.

3x + 3y = 11.25        ÷ 3 =>       x + y = 3.75

4x + 2y = 10            ÷ 2 =>       2x + y = 5

"y" in both equations is equal to 1.

Subtract one equation from the other. This will get rid of the variable "y" because y - y = 0.

.   2x + y = 5           Subtract each term

-     x + y = 3.75       Do 2x-x=x  and y-y=0   and   5-3.75 = 1.25

.           x = 1.25        Solved for "x"

Substitute x = 1.25 into any of the equations to find "y".

4x + 2y = 10

4(1.25) + 2y = 10     Multiply 4 and 1.25

5 + 2y = 10      Isolate "y" now

2y = 10 - 5      Subtract 5 from both sides

2y = 5      Divide both sides by 2

y = 5/2     Answer in fraction form

y = 2.5     Answer in decimal form

The point as an ordered pair is (1.25, 2.5). Or x = 1.25 and y = 2.5.

SUBSTITUTION

To use substitution, rearrange one of the equations so that it equals an isolated variable. I will rearrange 4x + 2y = 10 and isolate "y".

4x + 2y = 10

2y = 10 - 4x    Subtract 4x from both sides

y = 5 - 2x       Divide both sides by 2

Substitute y=5-2x into the other equation, replacing "y".

3x + 3y = 11.25

3x + 3(5-2x) = 11.25    Use the distributive property multiplying over brackets

3x + 15 - 6x = 11.25     Combine like terms (3x - 6x = -3x)

15 - 3x = 11.25     Isolate "x" variable now

-3x = 11.25 - 15    Subtract 15 from both sides

-3x = -3.75    Divide both sides by -3

x = 1.25      Answer

Substitute x = 1.25 in any of the equations.

y = 5 - 2x

y = 5 - 2(1.25)    Multiply 2 and 1.25

y = 5 - 2.5        Subtract

y = 2.5       Answer

The point as an ordered pair is (1.25, 2.5). Or x = 1.25 and y = 2.5.

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