Question

5. How would you solve the system of equations y = 5x + 1 and -2x + 3y =-10 ? What is the solution? *

Answer 1

Step 1:

In this question, we are given the following:

Solve the system of equations y = 5x + 1 and -2x + 3y =-10 ?

What is the solution?

Step 2:

The solution to the systems of equations:

`\begin{gathered} y\text{ = 5x + 1 -- equation 1} \\ -2x\text{ + 3y = -10 -- equation 2} \end{gathered}`

check:

Given y = -4 , x = -1

Let us put the values into the equation:

y = 5x + 1 and -2x + 3y = -10

`\begin{gathered} y\text{ = 5x + 1} \\ -4=5(-1)\text{ + 1} \\ -4=-5+1 \\ -4\text{ = - 4 (COR}\R ECT) \end{gathered}`
`\begin{gathered} -2x+3y\text{ = -10} \\ -2(-1)+3(-4)_{}_{} \\ 2-12=-10\text{ (COR}\R ECT) \end{gathered}`

CONCLUSION:

The solution to the system of equations are:

`\begin{gathered} \text{x = -1} \\ y=-4 \end{gathered}`