Solve the system of equations by the elimination method.
-0.1x + 0.7y = 1.7
x - 0.3y = -4.9
A)(-4, 3)
B)(3, -4)
C)(-0.4, 0.3)
D)no solution

Question

Solve the system of equations by the elimination method.
-0.1x + 0.7y = 1.7 
x - 0.3y = -4.9
A)(-4, 3)
B)(3, -4)
C)(-0.4, 0.3)
D)no solution

Quizplus · Accepted Answer

To solve the system of equations by the elimination method, we first align the equations and then attempt to eliminate one of the variables by adding or subtracting the equations. The given system is:1) $0.1x + 0.7y = 1.7$2) $x - 0.3y = -4.9$First, we can multiply the first equation by 10 to get rid of the decimals, resulting in:$x + 7y = 17$Now, we have:1) $x + 7y = 17$2) $x - 0.3y = -4.9$To eliminate $x$, we can subtract the second equation from the first:$(x + 7y) - (x - 0.3y) = 17 - (-4.9)$$7y + 0.3y = 21.9$$7.3y = 21.9$$y = 3$Substitute $y = 3$ into one of the original equations to find $x$. Using the second equation:$x - 0.3(3) = -4.9$$x - 0.9 = -4.9$$x = -4$Therefore, the solution is $x = -4$, $y = 3$, which corresponds to choice (A) (-4, 3).

Solve the System of Equations by the Elimination Method