Answer :
in problem number 1, the answer is 2. because if Aneesha multiply the first equation with 5, 2y will become 10y and if she multiply the sencond equation with 2, 5y will become 10y and 10y from both equations cancel out each other.
in problem number 2, the answer is 2. it's the same logic as number 1. if you multiply 0.5x with 2, it will become 1 and cancel out with x from first equation.
in problem number 2, the answer is 2. it's the same logic as number 1. if you multiply 0.5x with 2, it will become 1 and cancel out with x from first equation.
1.
Multiply each equation by the value that makes the coefficients of y opposite.
5*(6x+2y)=5(28)
2*(7x−5y)=2(−4)
Simplify
30x+10y=140
14x−10y=−8
Add the two equations together to eliminate y from the system.
44x = 132
Simplify the equation and solve for x.
x = 3
Substitute the value found for x into one of the original equations, then solve for y.
y=5
(3,5)
Multiplied second equation by 2.
2.
x - y = 5
0.5x + 0.1y = 8.5
Multiply each term in the equation by 10.
10x−10y=50
5x+y=85
Multiply each equation by the value that makes the coefficients of x opposite.
−1*(10x−10y)=−1(50)
2*(5x+y)=2(85)
Simplify
−10x+10y=−50
10x+2y=170
Add the two equations together to eliminate x from the system.
12y = 120
Simplify the equation and solve for y.
y=10
Substitute the value found for y into one of the original equations, then solve for x.
x=15
(15,10)
Multiplied the second equation by 2.
Multiply each equation by the value that makes the coefficients of y opposite.
5*(6x+2y)=5(28)
2*(7x−5y)=2(−4)
Simplify
30x+10y=140
14x−10y=−8
Add the two equations together to eliminate y from the system.
44x = 132
Simplify the equation and solve for x.
x = 3
Substitute the value found for x into one of the original equations, then solve for y.
y=5
(3,5)
Multiplied second equation by 2.
2.
x - y = 5
0.5x + 0.1y = 8.5
Multiply each term in the equation by 10.
10x−10y=50
5x+y=85
Multiply each equation by the value that makes the coefficients of x opposite.
−1*(10x−10y)=−1(50)
2*(5x+y)=2(85)
Simplify
−10x+10y=−50
10x+2y=170
Add the two equations together to eliminate x from the system.
12y = 120
Simplify the equation and solve for y.
y=10
Substitute the value found for y into one of the original equations, then solve for x.
x=15
(15,10)
Multiplied the second equation by 2.