Question

2x+7y=1
X+5y=2 answer using elimination method

Answer 1

To solve the given system of equations using the elimination method, multiply the second equation by 2 to eliminate x. Subtract the resulting equation from the first equation and solve for y. Substitute the value of y back into one of the original equations to solve for x. The solution to the system of equations is x = -3 and y = 1.

Step-by-step explanation:

To solve the given system of equations using the elimination method, we can eliminate one of the variables by adding or subtracting the equations. In this case, we can eliminate the variable x by multiplying the second equation by 2:

2(x + 5y) = 2(2)

2x + 10y = 4

Subtract the resulting equation from the first equation:

(2x + 7y) - (2x + 10y) = 1 - 4

-3y = -3

Divide both sides by -3:

y = 1

Substitute the value of y back into one of the original equations to solve for x:

x + 5(1) = 2

x + 5 = 2

x = -3

Therefore, the solution to the system of equations is x = -3 and y = 1.

Answer 2

`\left \{ {{2x+7y=1} \atop *(-2)} \right. \\\\ \left \{ {{2x+7y=1} \atop {-2x-10y=-4}} \right. \\+----\\elimination\ method\\\\ -3y=-3\ \ \ | divide\ by\ -3\\ y=1\\\\ x=2-5y=2-5=-3\\\\ solution:\\ \left \{ {{y=1} \atop {x=-3}} \right.`