Question

Y = x + 4
y = -8x - 23

Answer 1

Equations is x=−3 and y=1.

Explanation:

The system of equations you’ve given is:

y=x+4

y=−8x−23

To find the solution, we can set the two equations equal to each other and solve for x

:

x+4=−8x−23

Adding 8x

to both sides gives:

9x+4=−23

Subtracting 4

from both sides gives:

9x=−27

Finally, dividing both sides by 9

gives:

x=−3

Substituting x=−3

into the first equation y=x+4

gives:

y=−3+4=1

So the solution to the system of equations is x=−3

and y=1.

Answer 2

Explanation:

To find the solution to the system of equations y = x + 4 and y = -8x - 23, we can use the method of substitution.

Step 1: We start by solving one equation for one variable and substituting it into the other equation. Let's solve the first equation, y = x + 4, for x:

x = y - 4

Step 2: Now we substitute this value of x into the second equation, y = -8x - 23:

y = -8(y - 4) - 23

Step 3: We can simplify the equation by distributing -8 to y and -8 to -4:

y = -8y + 32 - 23

Step 4: Combine like terms:

y = -8y + 9

Step 5: Add 8y to both sides of the equation:

9y = 9

Step 6: Divide both sides of the equation by 9:

y = 1

Step 7: Now that we have the value of y, we can substitute it back into the first equation to find the value of x:

x = 1 - 4

x = -3

Therefore, the solution to the system of equations y = x + 4 and y = -8x - 23 is x = -3 and y = 1.

Hope this helps.