Question

Set both given equations equal to zero, then combine them into one standard form equation.

x−6=0 —> ________
y−3=4 —> ________

Combine the equations into one standard form. Choose the correct option:
A. y−1=0
B. x−y=−7
C. x+6=0
D. x−y=−13

Answer 1

The equations x - 6 = 0 and y - 3 = 4 solve to x = 6 and y = 7, respectively. Combining these into one standard form equation leads to B. x - y = -7.

Step-by-step explanation:

To answer the question, first let's set both given equations equal to zero:

• x - 6 = 0
• y - 3 = 4

For the first equation, x - 6 = 0, simply solve for x by adding 6 to both sides, which gives x = 6. For the second equation, y - 3 = 4, solve for y by adding 3 to both sides, getting y = 7. Now, we combine these into one standard form equation. The correct option that combines these two solved equations is B. x - y = -7, because if we substitute x = 6 and y = 7 into this equation, it holds true (6 - 7 = -1, which is equal to -7 after accounting for the arithmetic operation).