Question

Solve the equation y + 3 = 5 - 6 + x.

a) y + 9 = x

b) y + 3 = -1 + x

c) y + 3 = 11 + x

d) y - 3 = 5 - x

Answer 1

After simplifying the original equation y + 3 = 5 - 6 + x, we get y + 3 = -1 + x. Comparing this with the options provided, b) y + 3 = -1 + x is the correct answer.

Step-by-step explanation:

To solve the equation y + 3 = 5 - 6 + x, we first simplify the right side of the equation. We do this by combining the constants 5 and -6, which gives us -1. Thus, the equation simplifies to y + 3 = -1 + x. This equation now has a similar form to the given linear equation y = 9 + 3x, where the value of y depends on the value of x.

Comparing the options provided:

• a) y + 9 = x: This is incorrect because 9 is not equal to -1.
• b) y + 3 = -1 + x: This is correct as it matches our simplified equation.
• c) y + 3 = 11 + x: This is incorrect because 11 is not equal to -1.
• d) y - 3 = 5 - x: This is incorrect because it does not match our simplified equation.

Therefore, the correct answer is b) y + 3 = -1 + x.