Taylor has $4 worth of dimes and quarters. She has 2 more quarters than dimes. Graphically solve a system of equations in order to determine the
number of dimes, x, and the number of quarters, y, that Taylor has.

Taylor has 10 dimes and 12 quarters.

Step-by-step explanation: you should end up with the equation y = x + 2 which is where it explains that he had two more quarters than dimes.

Then, your other equation starts with .10x +0.25y = 4 “, but then simplified, which should give u y = -2/5x +16. Once you graph both the top and this equation, they should intersect at the 4, which leads back to your money amount of 4 dollars.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )