Answer: To solve the system of equations using substitution, we'll start by rearranging one of the equations so that one of the variables can be expressed in terms of the other. In this case, we'll rearrange the second equation to find y in terms of x.
y = 2x + 4
Next, we'll substitute this expression for y into the first equation:
+3x + 5(2x + 4) = 7
Expanding the right-hand side:
+3x + 10x + 20 = 7
Combining like terms:
13x + 20 = 7
Subtracting 20 from both sides:
13x = -13
Dividing both sides by 13:
x = -1
Finally, we'll use the expression we found for y in terms of x to find the corresponding value of y:
y = 2x + 4
y = 2(-1) + 4
y = -2 + 4
y = 2
So the solution to the system is (x, y) = (-1, 2).
Explanation: