4x-2y=7 (1)
-3x+3y=10 (2)
3y= 3x+10
y= x+10/3 (3)
sub (3) into (1)
4x-2(x+10/3)=7
4x-2x-20/3=7
2x-20/3=7
+20/3 +20/3
2x= 41/3
x= (41/3) / 2
x= 41/6
sub x= 41/6 into (3)
y= 41/6+10/3
= 61/6
Therefore the point of intersection is (41/6, 61/6)
Answer:
The 2 whole numbers that fall between √22 are 4 and 5
4*4=16, 5*5=25
The 2 whole numbers that fall between √62 are 7 and 8
7*7=49, 8*8=64
Step-by-step explanation:
Answer:
x > 17
Step-by-step explanation:
Add 8 to both sides:
6x - 8 > 4x + 26
6x > 4x + 34
Subtract 4x from both sides:
2x > 34
Divide each side by 2:
x > 17
So, the solution is x > 17
Answer:total amount that was was collected is $8500
Step-by-step explanation:
Let x represent the total number of floor seats sold.
Let y represent the total number of VIP seats sold.
The total number of tickets sold for the fund raising concert was 500. This means that
x + y = 500
Four times as many floor seats were sold than VIP seats. It means that
x = 4y
Substituting x = 4y into x + y = 500, it becomes
4y + y = 500
5y = 500
y = 500/5 = 100
x = 4y = 4 × 100
x = 400
If each floor seat ticket sold for $10 and each VIP ticket sold for $45, the total money collected would be
10 × 400 + 45 × 100 = 4000 + 4500
= $8500
