Question

Y=4x-2 and y=x+3
Estimate the solution to the systems of equations ​

Answer 1

x = 5/3, y = 14/3

Explanation:

Since they both equal y, the equations equal each other as well.

4x - 2 = x + 3

Subtract x.

3x - 2 = 3

Add 2.

3x = 5

Divided by 3.

x = 5/3

Substitute x into an equation to get y.

y = 4(5/3) - 2 = 14/3

Answer 2

solution set = {5/3 , 14/3}

Explanation:

Given that:

y=4x-2 _________ eq1

y=x+3 ----------------- eq2

Subtracting eq 2 from eq1 we get:

0 = 3x - 5

By simplifying we get:

3x = 5

x = 5/3

Now putting value of x in eq2 we get:

y = 5/3 + 3

Taking LCM to make denominator same

y = 5/3 + 9/3

y = 14/3

So the solution set = {5/3 , 14/3}

i hope it will help you!