Using linear combination method to solve the system of equations 3x - 8y = 7 and x + 2y = -7 is (x, y) = (-3, -2)
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Solution:</u></h3>
Given that, a system of equations are:
3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)
We have to solve the system of equations using linear combination method and find their solution.
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.
Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.
4x + 8y = -28 ⇒ (3)
Now, add (1) and (3)
3x – 8y = 7
4x + 8y = - 28
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7x + 0 = - 21
7x = -21
x = - 3
Now, substitute "x" value in (2)
(2) ⇒ -3 + 2y = - 7
2y = 3 – 7
2y = - 4
y = -2
Hence, the solution for the given two system of equations is (-3, -2)
Answer:
CAN U MAKE THE PICTURE BIGGER
Step-by-step explanation:
Answer:
2z+6
Step-by-step explanation:
z+z+6
Combine like terms
2z+6
Answer:
the area is 254.47
Step-by-step explanation:
A=pi sign r²
d=2r
now we solve for the area
A=1/4 pi sign d²=1/4 times 3.14 times 18=254.47
Answer:
- (x, T) = (x, D) = (1000, 85)
- each booth pays $85 in fees on rental and sales of $1000
Step-by-step explanation:
A. <u>Given</u>
T = 0.05x +35 . . . . Terri's cost of operating a craft booth
D = 0.03x +55 . . . . Donna's cost of operating a craft boot
T = D
where x is the dollar amount of sales.
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B. <u>Solution</u>
Subtracting the equation for D from that of T, we get ...
T - D = 0
(0.05x +35) -(0.03x +55) = 0 = 0.02x -20
0 = x -1000 . . . . . divide by 0.02
x = 1000
T = D = 0.05(1000) +35 = 85
(x, T) = (x, D) = (1000, 85)
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C. <u>Meaning</u>
According to the given definitions of the variables, each booth pays a total of $85 in fees for sales of $1000.
