Since you need an isolated variable to use the substitution method, we need to re-arrange one of the equations. This will probably be easiest to do with the first one.
Add 5y to both sides of the first equation.
x=10+5y
Now, in the second equation, put in 10+5y in any spot that has an x.
2(10+5y)-10y=20
Distribute the 2 to both numbers in the parenthesis.
20+10y-10y=20
Combine like terms.
20=20
This means that the two equations are actually the same. You can see this if you multiply the whole first equation by 2
2(x-5y=10)
2x-10y=20, which is the same as the second equation. Therefore, the two equations are actually the same one.
Answer:
x=-15
x=6
x=3
x=-21
Step-by-step explanation:
Because of the transversal and the parallel lines, we know that A+B=180°.
So:
5x + 20 + 9x - 92 = 180
14x - 72 = 180
14x = 180 + 72
14x = 252
x = 252/14
x = 18
A = 5x + 20
A = 5*18 + 20
A = 90 + 20 = 110
(Let’s check:
B = 9*18 - 92
B = 162 - 92
B = 70
70 + 110 = 180)
<span>It will take Yanni 20 minutes to catch up with Tracy. This can be determined with the fact that average velocity equals change in distance divided by change in time. Rearrange the equation so that we are solving for the final time, then set Tracy's equation equal to Yanni's equation and solve for the final time.</span>
The answer is the third option, which is:
<span> y = x^2 + 5x + 3
6x + y = −27
The explanation is shown below:
1. When you solve this problem you have the following solution:
x=-6
y=9
x=-5
y=3
2. As you can see the solution corresponds with the graph shown above.
3. You can give value to the variable x of the first equation and values to the x of the second equation, and plot each point obtain. You will see that the parabola and the line, touch each other at the points (-5,3) and (-6,9)</span>
