4a+3b-(-2a-3b)
=4a+3b+2a+3b
=6a+6b
=6(a+b)
<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>
x - y = 15
2x + 8 = 3y - 4
We can quickly get a temporary value for x by altering the original equation.
x - y = 15
<em><u>Add y to both sides.</u></em>
x = 15 + y
Now that we have a value of x, we can find the exact value of y.
2(15 + y) + 8 = 3y - 4
<em><u>Distributive property.</u></em>
30 + 2y + 8 = 3y - 4
<em><u>Combine like terms.</u></em>
38 + 2y = 3y - 4
<em><u>Subtract 2y from both sides.</u></em>
38 = y - 4
<em><u>Add 4 to both sides.</u></em>
y = 42
Now that we know the exact value of y, we can plug it back into the original equation.
x - 42 = 15
<em><u>Add 42 to both sides.</u></em>
x = 57
Answer:
Step-by-step explanation:
x = 2 is the equation of a vertical line passing through x = 2. This is shown in the lower left graph: a solid vertical line 2 units to the right of the y-axis.
<u>Given</u>:
Given that Jasmine rides her bike 9 miles in 50 minutes.
We need to determine the speed per hour.
<u>Time per hour:</u>
The time taken is 50 minutes. We need to convert minutes into hours.
Thus, we have;
Thus, the time taken to cover 9 miles is 
<u>Speed:</u>
The speed can be determined using the formula,
Substituting the values, we have;
Simplifying, we get;
Thus, Jasmine's speed is 10.8 miles per hour.
