Solve for Q
8q+12=4(3+2q)

q = infinite amount of solutions

Step-by-step explanation:

Step 1: Write equation

8q + 12 = 4(3 + 2q)

Step 2: Solve for q

We see here that you can plug in any number q and it would render the equation true. You can also look at it as 2 linear lines that are same, and the same line has infinite amount of solutions.

Step 3: Check

Plug in q to verify it's a solution.

8(0) + 12 = 4(3 + 2(0))

0 + 12 = 4(3 + 0)

12 = 4(3)

12 = 12

8(1) + 12 = 4(3 + 2(1))

8 + 12 = 4(3 + 2)

20 = 4(5)

20 = 20

We also see in the check step that any value q works.

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step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x