Answer: (1, 4)
Explanation: When using the method of elimination, the goal is to eliminate a variable by either adding or subtracting the 2 equations. For this question, you can choose either to eliminate X or Y. I’ll eliminate X as an example:
In order to eliminate a variable, the same variable in both equations must have the same coefficient.
(1) 3x+y=7
(2) 2x+5y=22
Multiply (1) by 2:
(3) 6x+2y=14
Multiply (2) by 3:
(4) 6x+15y=66
Now that X in both equations has the same coefficient of 6, you can subtract the two equations to officially eliminate the variable and solve for Y:
Subtract (4) from (3):
-13y=-52
y=4
Now that you have the value of Y, substitute that into either one of the equations to get X. I’ll use the first equation as an example:
3x+(4)=7
3x=3
x=1
Therefore, the point of intersection is (1, 4).
Hope this helps シ
Answer:
Step-by-step explanation:
b, i'm not sure but thats what i think.
<span>Simplifying
3x + -3y = 27
Solving
3x + -3y = 27
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
3x + -3y + 3y = 27 + 3y
Combine like terms: -3y + 3y = 0
3x + 0 = 27 + 3y
3x = 27 + 3y
Divide each side by '3'.
x = 9 + y
Simplifying
x = 9 + y
Hope this helps</span>
Answer:
The answer is A (-3,4,6).
Step-by-step explanation:
1 Solve for z in -3x-4y+z=-1
z=3x-1+4y
2 Substitute z=3x-1+4y into 2x+y-z=-8
-x-3y+1=-8
3 Substitute z=3x-1+4y into x+8y-z=23
-2x+4y+1=23
4 Solve for x in -x-3y+1=-8
x=-3y+9
5 Substitute x=-3y+9 into z=3x-1+4y
z=-5y+26
6 Substitute x=-3y+9 into -2x+4y+1=23
10y-17=23
7 Solve for y in 10y-17=23
y=4
8 Substitute y=4 into z=-5y+26
z=6
9 Substitute y=4 into x=-3y+9
x=-3
10 Therefore,
x=-3
y=4
z=6
Answer:
12.35-4.30=8.05
8.05÷3= 2.68333333333333....
≈2.68