Solve each system by substitution

Question

Y = -3x + 4
Y = 4x - 10

Answer 1

We can solve this system by substitution method. We start by setting the expressions for y in both equations equal to each other:

-3x + 4 = 4x - 10

Next, we can simplify the equation by adding 3x to both sides:

4 = 7x - 10

Then, we add 10 to both sides:

14 = 7x

Finally, we divide both sides by 7 to solve for x:

x = 2

Now that we have the value of x, we can substitute it back into either equation to find the value of y. Let's choose the first equation:

y = -3(2) + 4

y = -6 + 4

y = -2

Therefore, the solution to the system is x = 2 and y = -2.