The correct answer is 'Equation F can be written as 2d + 1 = 3d + 7'. In order to find the answer to a system of equations, the two equations must be set equal to each other. For instance, if we had the equations x = y + 1 and x = 3y - 1, we would set the two equations equal to one another to find the answer.
x = y + 1
x = 3y - 1
y + 1 = 3y - 1
1 = 2y - 1
2 = 2y
1 = y
x = y + 1
x = 1 + 1
<span>x = 2
We can use this to solve the set of equations above.
</span><span>2d + 1 = 3d + 7
</span>1 = d + 7
-6 = d
c = 2d + 1
c = 2(-6) + 1
c = -12 + 1
c = -11
Hope this helps!
Answer:
t3 = 8, t5 = 14
Step-by-step explanation:
t3 = 2 + (3-1) × 3
t3 = 2 + (2) × 3
t3 = 2 + 6
t3 = 8
t5 = 2 + (5-1) × 3
t5 = 2 + (4) × 3
t5 = 2 + 12
t5 = 14
X is positive and y is negative in quadrant IV
Answer:
Popcorn cost $1 each
Drinks cost $5.25 each.
Step-by-step explanation:
Let the price of each popcorn be X
And the price of the same drink be y
Statement one translates to;
8x + 5y = 34.25-----------------------------(1)
Statement for Elijah translate to;
2x + 8y = 44-----------------(2)
x = 22- 4y [ dividing through by 2 and making X the subject formula]----------(3)
Substitute (3) in (1); we have :
8 ( 22-4y) + 5y = 34.25
176 -32y + 5y = 34.25
176-34.25 = 32y-5y
141.75= 27y
y= 141.75/ 27 =5.25
From, (3)
x= 22- 4(5.25)= 22-21 =1
