Answer:
Step-by-step explanation:
3
Answer:18
Step-by-step explanation:2(18)+3=1/2(18)+30
36+3=9+30
39=39
<span>replace Y = 5x - 13
into
4x + 3y = 18
</span>
4x + 3 (5x - 13) = 18
4x + 15 - 39 = 18
4x -24 = 18
4x = 18 +24
4x = 42
x = 42/4
x = 10.5
Y = 5(10.5) - 13
= 52.5 - 13
= 39.5
answer: x = 10.5 and y = 39.5
The line has a positive slope. Let's look at all the slopes:
1) -3
2) -3
3) 3
4)3
Which ones are positive? That's right, 3 and 4. We don't know which equation would be the equation of the line. That's where the other information comes in.
The line intersects the y-axis at at a point that has a negative y-coordinate. Lets write the last two equations in slope-intercept form.
1) y = -3/2x - 5/2
2) y = -3/2x + 5/2
We have to graph both of the lines now. The graphs are at the very bottom. Take a look at them. In the first one, the y-intercept is a negative and in the second one, the y-intercept is positive.
The third one AKA 3x + 2y = -5 is the equation of the line. I hope this helps! Let me know if I got it wrong or if you need any more help.
Answer:
Number of adult tickets sold= 100
Step-by-step explanation:
Giving the following information:
Adults tickets= $15
Student tickets= $10
Number of tickets sold= 150
Total sales= $2,000
<u>First, we determine the systems of equations:</u>
15*x + 10*y= 2,000
x + y = 150
x= number of adults tickets sold
y= number of students tickets sold
<u>Now, we isolate x in one equation, and substitute it in the other one:</u>
x= 150 - y
15*(150 - y) + 10y = 2,000
2,250 - 15y + 10y = 2,000
250 = 5y
50= y
x= 150 - 50
x= 100
<u>Prove: </u>
15*100 + 10*50= 2,000
100 + 50 = 150