MATH SOLVE

2 months ago

Q:
# Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x β 14y = β68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is

Accepted Solution

A:

Answer:The solution is ( 1/2 , 5)Step-by-step explanation:β΅ 8x + 7y = 39 β (1)β΅ 4x - 14y = -68 β (2)Multiply (1) by 216x + 14y = 78 β (3)Add (2) and (3) β΄ 20x = 10 β x = 10 Γ· 20 = 1/2β΄ x = 1/2By substitute in (1)8(1/2) + 7y = 39 β 7y = 39 - 4 = 35 β y = 35 Γ· 7 = 5β΄ y = 5 β΄ The solution is ( 1/2 , 5) To check:8(1/2) + 7(5) = 4 + 35 = 39 = R.H.S4(1/2) - 14(5) = 2 - 70 = -68 = R.H.S