Answer:
x=60, y=30
Step-by-step explanation:
4x-7y=30
4x-5y=90
Subtract the equations
4x-7y=30-4x-5y=90
=2y=60
Solve 2y=60
Divide both sides by 2
2y/2=60/2
Simplify;
y=30
For 4x-7*30=30 for x
4x-7y*30=30
Multiply the numbers:7*30=210
4x-210=30
Add 210 to both sides
4x-210+210=30+210
Simplify;
4x=240
Divide both sides by 4
4x/4=240/4
Simplify
x=60
The solutions to the system of equations are:
x=60, y=30
Hope this helped!!!
.75
2.25
In order to multiply fractions just multiple the numerator and denominator straight across
Answer:
Ray = 19 yrs old
Tom = 25 yrs old
John = 57 yrs old
Explanation:
Let x be the years of Tom
R = x - 6
J = 3R = 3(x - 6)
T = x
R + J + T = 101
x - 6 + 3(x - 6) + x = 101
2x - 6 + 3x - 18 = 101
5x - 24 = 101
5x = 125
x = 125/5 = 25
R = 25 - 6 = 19
J = 3(25 - 6) = 57
T = 25
Answer:
x = 2 csc(1) y - π/4
Step-by-step explanation:
Solve for x:
y = 1/2 sin(1) (x + π/4)
y = 1/2 (x + π/4) sin(1) is equivalent to 1/2 (x + π/4) sin(1) = y:
1/2 sin(1) (x + π/4) = y
Divide both sides by sin(1)/2:
x + π/4 = 2 csc(1) y
Subtract π/4 from both sides:
Answer: x = 2 csc(1) y - π/4
