Question

For which independent value do the equations generate the same dependent value?

Y₁ = 6x + 10
3₂ = 4x+4
a. 3
b. -3
Please select the best answer from the choices provided
O A
OB
C. -2
d. none
BCD

Answer 1

To find the independent value where two linear equations yield the same dependent value, set them equal and solve for x. For equations Y1 = 6x + 10 and Y2 = 4x + 4, solving leads to the independent value option b.x = -3.

Step-by-step explanation:

The student is looking to find the independent value at which two linear equations, Y₁ = 6x + 10 and Y₂ = 4x + 4, generate the same dependent value. To solve this, we need to set the equations equal to each other and solve for x.

• Step 1: Set Y₁ equal to Y₂: 6x + 10 = 4x + 4
• Step 2: Subtract 4x from both sides to get: 2x + 10 = 4
• Step 3: Subtract 10 from both sides to get: 2x = -6
• Step 4: Divide both sides by 2 to find x: x = -3

Thus, the correct answer is option B, -3.