You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a sys

Question

3 years ago

6

tem with the same solution? 5x + 3y = 5 8x + 2y = 6

1 answer:

ziro4ka [17] · Answer 1 · 2022-01-19T21:33:49+03:00

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