Solving systems using multiplication with the elimination method 8.5 answers

Asked by admin @ 29/10/2021 in Mathematics viewed by 399 People

You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a system with the same solution? 5x + 3y = 5 8x + 2y = 6

Answered by admin @ 29/10/2021

See explanation for the incorrect step.

Step-by-step explanation:

The steps for solving simultaneous equations by elimination method are;

Naming the equations (i) and (ii)
Multiplying each equation by a suitable number so that the two equations have the same leading coefficients
Subtracting the second equation (ii) from the first equation (i)
Solving the new equation for value of x or y
Substituting the value of x or y in equation (i) or (ii)
Getting the solutions

In this case, the equations are;

5x+3y=5-------------- (i)

8x+2y=6-------------- (ii)

--------------multiplying equation (i) by 2 and (ii) by 3

10x+6x=10

24x+6y=18

-------------------performing subtraction

14x=8 --------divide both sides by 14 to remain with x

14x/14 =8/14

x=8/14 = 4/7

Substitute value of x in equation (i)

5(4/7) +3y =5

20/7 +3y =5 -------collect like terms

3y= 5- 20/7

3y=15/7

y=5/7

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