Andrea and Tammy are buying supplies for painting. Andrea buys 4 jars of paint and 2 brushes and spends $42. Tammy buys 3 jars of paint and 3 brushes and spends S39. Solve the system of equations

Answer 1

Let x be the cost of one jar of paint and y be the cost of one brush.

From the given information, we can create the following system of equations:

4x + 2y = 42
3x + 3y = 39

Now we can solve the system of equations using either substitution or elimination method.

Substitution Method:

From the first equation, isolate y:
y = (42 - 4x) / 2
y = 21 - 2x

Substitute this expression for y into the second equation:
3x + 3(21 - 2x) = 39
3x + 63 - 6x = 39
-3x + 63 = 39
-3x = 39 - 63
-3x = -24
x = 8

Now substitute the value of x back into the first equation to solve for y:
4(8) + 2y = 42
32 + 2y = 42
2y = 10
y = 5

Therefore, one jar of paint costs $8 and one brush costs $5.