Answer:
x = -3
Step-by-step explanation:
The LCD is 6, so multiply both sides by 6.
6[(3x + 1)/2] - 6[(4x - 3)/3] = 6 * 1
3(3x + 1) - 2(4x - 3) = 6
9x + 3 - 8x + 6 = 6
x + 9 = 6
x = -3
11x11=121
$140-121=19
19/7=
It would take approximately 2hours and 71 minutes to meet her requirements.
(-1, -5)
x-axis is to flip the y - coordinates
y-axis is to flip the x - coordinates
Answer:
Solution: x = -2; y = 3 or (-2, 3)
Step-by-step explanation:
<u>Equation 1:</u> y = -5x - 7
<u>Equation 2:</u> -4x - 3y = -1
Substitute the value of y in Equation 1 into the Equation 2:
-4x - 3(-5x - 7) = -1
-4x +15x + 21 = -1
Combine like terms:
11x + 21 = - 1
Subtract 21 from both sides:
11x + 21 - 21 = - 1 - 21
11x = -22
Divide both sides by 11 to solve for x:
11x/11 = -22/11
x = -2
Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:
-4x - 3y = -1
-4(-2) - 3y = -1
8 - 3y = -1
Subtract 8 from both sides:
8 - 8 - 3y = -1 - 8
-3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the solution to the given systems of linear equations is:
x = -2; y = 3 or (-2, 3)
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