2x + y = 20
-5y = -6x + 12
To use the substitution method, first isolate one of the variables in one of the equations.
Isolate the "y" in the first equation (because it is the easiest to isolate), and substitute it into the second equation:
2x + y = 20 Subtract 2x on both sides
y = 20 - 2x
-5y = -6x + 12 (since y = 20 - 2x, you can substitute 20 - 2x into y)
-5(20 - 2x) = -6x + 12 Multiply -5 into (20 - 2x)
-100 + 10x = -6x +12 Add 100 on both sides
10x = -6x + 112 Add 6x on both sides
16x = 112 Divide 16 on both sides
x = 7
Now that you have found x, you can substitute 7 into x for one of the original equations:
2x + y = 20
2(7) + y = 20
14 + y = 20 Subtract 14 on both sides
y = 6
-5y = -6x + 12
-5y = -6(7) + 12
-5y = -42 + 12
-5y = -30 Divide -5 on both sides
y = 6
x = 7, y = 6
The given statement 5x=4y=12 and x+6y=5 is true.
<u>Step-by-step explanation:</u>
The question comes from linear equations in two variables.
Here, two unknown variables represent a certain situation and their value can be obtained by solving both the given equations.
The cost of cookie is represented by the variable x and cost of doughnuts can be represented by the variable y.
The coefficient of each variable in the equation represent the quantity or the number of units of each baked good.
On comparing the given equations from the data provided in the question, the statement can be stated as true.
9514 1404 393
Answer:
(d) y = -2x +8
Step-by-step explanation:
The parallel line will have the same x-coefficient, eliminating choices B and C. If it goes through point (4, 0), then (x, y) = (4, 0) will satisfy the equation.
A: 0 = -2(4) +4 = -4 . . . . . not true
D: 0 = -2(4) +8 . . . . . . . . true
The equation you're looking for is ...
y = -2x +8
__
<em>Additional comment</em>
Since you know the slope is -2 and a point on the line is (4, 0), you can use the point-slope form of the equation for a line as a starting point.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For m = -2, and (h, k) = (4, 0), the equation becomes ...
y -0 = -2(x -4)
Simplified to slope-intercept form, this is ...
y = -2x +8
Answer:
6x^2 - 10x - 24
Step-by-step explanation:
- Do 3x times 2x which is 6x^2
- Do 3x times - 6 which is -18x
- Do 4 times 2x which is 8x
- Do 4 times - 6 which is - 24
- You get 6x^2 - 18x + 8x - 24
- Simplyify to get the answer
