Answer:
x = £200
(y = £400)
Step-by-step explanation:
Convert interest rates into decimal format:
3% = 3/100 = 0.03
4% = 4/100 = 0.04
From information given, create 2 equations:
0.03x + 0.04y = 22
0.04x + 0.03y = 20
Rearrange equation 1 to make y the subject:
⇒ 0.03x + 0.04y = 22
⇒ 0.04y = 22 - 0.03x
⇒ y = 550 - 0.75x
Substitute y = 550 - 0.75x into equation 2 and solve for x:
⇒ 0.04x + 0.03(550 - 0.75x) = 20
⇒ 0.04x + 16.5 - 0.0225x = 20
⇒ 0.0175x = 3.5
⇒ x = 200
To find y, substitute found value of x into one of the equations and solve for y:
⇒ 0.04(200) + 0.03y = 20
⇒ 8 + 0.03y = 20
⇒ 0.03y = 12
⇒ y = 400
The x-intercept is the value of x when y is equal is zero. It is the point in the x-axis intersected by the line. The y-intercept is the value of y when x is zero. It is where the line intersects in the axis. Therefore, for the given equation:
<span>y=−12x+4
</span><span>y=−12(0)+4 = 4<--------y-intercept
</span><span>0=−12x+4
x = 1/3 <--------x-intercept</span>
Answer:
y=3x-1 and y=3x+1
Step-by-step explanation:
y=mx+b form
m stands for the slope which is rise over run.
b stands for the y intercept. where the line intersects with the y axis.
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