Answer:
One solution
Step-by-step explanation:
They have isolated y for you in both equations so you can plug either one into the other.
y = 3x - 1
2x + 7 = 3x - 1
isolate the x
7 = x - 1
x = 8
Go back to the original and plug 8 into x to get y.
y = 2 (8) + 7
y = 16 + 7
y = 23
This means at (8, 23) y = 2x+7 is equal to y = 3x-1. In other words they share a point at (8, 23). This is the only solution because for any other x and y they'd not be equal.
The denominator of a fraction is 1 more than 3 times the numerator. If the denominator is doubled and the numerator is increased by 2, the value of the resulting fraction is 1/4. Find the original fraction.
Answer:
47
Step-by-step explanation:
PEMDAS - Parenthesis, Exponential, Multiplication, Addition, Subtraction
200 – (74 + (720/9) + 44 + 16 x (4 + 6 – 8 x 2) - (42/2) + 70) – 2
200 – (74 + 80 + 44 + 16 x (-6) - 21 + 70) – 2
200 – (74 + 80 + 44 - 96 - 21 + 70) – 2
200 – 151 – 2
47
X = 2 + 4y....with x being the larger number and y being the smaller number
OR
y = 2 + 4x....with y being the larger number and x being the smaller number