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8. ) -0.7x+0.6y=1.3 0.5x-0.3y=-0.8

Question

8. ) -0.7x+0.6y=1.3 0.5x-0.3y=-0.8

Solution

Verificación de expertos

4.4 (135 Votos)

Jurema Mestre · Tutor por 5 anos

Resposta

To solve the system of linear equations:

we can use either the substitution method or the elimination method. Here, we will use the elimination method.First, let's multiply both equations by suitable numbers to make the coefficients of

(or

) equal in magnitude but opposite in sign. We will eliminate

.Multiply the first equation by 0.5 and the second equation by 0.6:

This gives us:

Now, add these two equations together to eliminate

:

Simplify:

Combine like terms:

Since we made an error in our initial approach, let's correct it by re-evaluating the elimination process. Instead, let's multiply the first equation by 3 and the second equation by 6 to eliminate

:

This gives us:

Now, add these two equations together to eliminate

:

Simplify:

Combine like terms:

Solve for

:

Now substitute

back into one of the original equations to solve for

. Using the second equation:

Simplify:

Add 0.5 to both sides:

Solve for

:

Thus, the solution to the system of equations is: