Variable x would be easier to solve for.
Step - by - Step Explanation
What to find?
• The value of x.
,
• The value of y.
,
• The variable that was easier to solve.
Given:
5x+3y=22
4x-2y=16
Using elimination method,
First solve for x.
To solve for x, multiply through the first equation by 2 and then multiply through the second equation by 3.
10x + 6y = 44 _____________(3)
12x - 6y = 48 ______________(4)
Add (3) and (4)
22x = 92
Divide both-side of the equation by 22
x = 92/22
Reduce the fraction by 2.
x =46 / 11
To solve for y,
Multiply through the first equation by 4 and through the second equation by 5.
20x + 12y = 88 _________________ (5)
20x - 10y = 80 __________________(6)
Subtract equation 6 from 5.
22y= 8
Divide both-side of the equation by 22.
y = 8/22
We can reduce the fraction by 2.
y = 4 / 11
Judging from the steps above, we can deduce that the variable that was easier to solve is x.