How to solve 2p plus 4s equals 42 and 4p plus 10s equals 140 using solving systems of equations

The solution for the given set of equations is s=28 and p = - 35.

Step-by-step explanation:

The given system of equations are:

2p + 4s = 42 and

4p + 10s = 140

To solve for p and s values,

step 1: Multiply the first equation by 2 on both sides. The equation becomes,

4p + 8s = 84

step 2: Subtract the second equation from the first equation.

4p + 8s = 84

-4p - 10s = - 140

- 2s = - 56

step 3: The value of s = - 56/-2 = 28

step 4: substitute s=28 in the first equation. 2p + 4 (28) = 42

2p = 42 - 112

p = - 70/2 = - 35

Therefore, the value of s=28 and p = - 35.