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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