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beks73 [17]
3 years ago
9

Plz help me how would you solve 4x + 2y = 18, 3x - 5y =20 by elemination

Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer: x = 5, y = -1

<u>Step-by-step explanation:</u>

Equation 1: 4x + 2y = 18

Equation 2: 3x - 5y = 20

In order to eliminate one of the variables , find the LCM of either x or y.

<em>I chose to eliminate y.</em>  The LCM of 2 & 5 is 10.

Multiply the entire equation so the coefficient of the variable equals the LCM.

Then add the equations and solve for the remaining variable.

5(4x + 2y = 18)       -->        20x + 10y = 90

2(3x - 5y = 20)      -->        <u>   6x  - 10y</u> = <u>40 </u>

                                           26x          = 130  

                                         <u> ÷26         </u>    <u>÷26 </u>

                                                x         =  5

Next, input x = 5 into either of the equations to solve for y.

Equation 1: 4x + 2y = 18

                 4(5) + 2y = 18

                  20  + 2y = 18

                <u> -20          </u>  <u>-20 </u>

                           2y = -2

                         <u> ÷2  </u>  <u> ÷2 </u>

                             y = -1

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