Answer:
<em>Terry had £780 initially and Faye had £1300</em>
Step-by-step explanation:
<u>System of Equations</u>
We'll call the following variables:
x = Terry's balance in his bank account
y = Faye's balance in her bank account
The initial relation between them is:

Cross-multiplying:
5x = 3y [1]
If Terry put £220 in his account he had x+220 and if Faye withdrew £300 from her account, she had y-300. Both quantities are equal, thus
x + 220 = y - 300
Subtracting 220:
x = y - 520 [2]
Substituting in [1]
5(y - 520) = 3y
Multiplying:
5y - 2600 = 3y
Adding 2600 and subtracting 3y:
2y = 2600
Dividing by 2:
y = 1300
From [2]:
x = 1300 - 520
x = 780
Terry had £780 initially and Faye had £1300
Answer:
y = 3/2 x + 9
Step-by-step explanation:
take the two points and find slope :
12 - 3 / 2 - (-4) = 3/2
then use the slope and one of the points to find the y-intercept :
y = 3/2 x + b
3 = 3/2 * (-4) + b (Substitute)
3 = -6 + b (Multiplication)
3 + 6 = -6 + b + 6 (Addition)
b = 9
so, your final slope-intercept equation is :
y = 3/2 x + 9
Step-by-step explanation:
a=15
b=8
c=17
*


289=289
Proved