5) Joy and Cullen put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Joy: y = 30x + 20 Cullen: y = 20x + 90 a) After how many weeks will Joy and Cullen have the same amount of money in their money boxes?
b) What is that amount?

After 7 weeks Joy and Cullen will have the same amount of money in their money boxes and the amount is $230.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

a) The given system of equations are y=30x+20 -----(i) and y=20x+90 -----(ii)

Fromm equation (i) and (ii), we have

30x+20=20x+90

30x-20x=90-20

10x=70

x=7

b) Substitute x=7 in equation (i), we get

y=30×7+20

y=210+20

y=230

Therefore, the solution of the system of equations is (7, 230).

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Answer:

The answer is D trust me i helped my friend Week 7 And the amount is 230$

Step-by-step explanation: