Answer:
x = 1/4
y = 5 2/4
Explanation:
Given two equations
1. 10x + 3y = 19
2. y = 2x + 5
Substitute 2x + 5 for y in the first equation
We have
10x + 3y = 19
10x + 3(2x + 5) = 19
Expand the bracket
10x + 3 X 2x + 3 X 5 = 19
10x + 6x + 15 = 19
16x + 15 = 19
Subtract 15 from both sides to eliminate 15 on the left
16x + 15 - 15 = 19 - 15
16x = 4
Divide both sides by 16 to isolate x
16x/16 = 4/16
x = 1/4
Now, substitute 1/4 for x in either equation to get y.
Using equation 2 , we have
y = 2x + 5
= 2(1/4) + 5
= 2/4 + 5
LCM of the denominator is 4.
Divide the LCM by the denominators and multiply the results by the numerators. Also, the LCM becomes the denominator of the results
Therefore
= 2 + 20/4
= 22/4
y= 5 2/4
x = 1/4 , y = 5 2/4