10x + 3y = 19

y = 2x + 5

x = 1/4

y = 5 2/4

Step-by-step 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