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Solve the system of equations

x-y=5.16
2-0.8x=0.4y

Round to the nearest hundredth

From the first :

x = y + 5.16
sub that into the 2nd

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When solving a system of equations, it is important to follow a step-by-step process. In this case, the given system of equations is: x - y = 5.16 2 - 0.8x = 0.4y To solve this system, we can use the method of substitution or elimination. Let's use the method of elimination here: Step 1: Multiply the second equation by 2 to eliminate the decimals: 2(2 - 0.8x) = 2(0.4y) 4 - 1.6x = 0.8y Step 2: Rearrange the equations to isolate either x or y. Let's solve for y in the first equation: y = x - 5.16 Step 3: Substitute the expression for y in the second equation: 4 - 1.6x = 0.8(x - 5.16) Step 4: Simplify and solve for x: 4 - 1.6x = 0.8x - 4.128 4 + 4.128 = 0.8x + 1.6x 8.128 = 2.4x x ≈ 3.39 Step 5: Substitute the value of x into the first equation to solve for y: y = 3.39 - 5.16 y ≈ -1.77 Therefore, the solution to the system of equations is approximately x ≈ 3.39 and y ≈ -1.77, rounded to the nearest hundredth.