Ch. 5 - Systems of Equations and Inequalities

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Blitzer 8th Edition

Ch. 5 - Systems of Equations and Inequalities

Problema 13

Capitolo 6, Problema 13

In Exercises 5–18, solve each system by the substitution method. 2x + 5y = - 4 3x - y = 11

Guida verificata passo dopo passo

Start with the given system of equations:

2x + 5 y = - 4 3 x - y = 11

Solve one of the equations for one variable in terms of the other. For example, solve the second equation for

y

3x - y = 11

becomes

y = 3x - 11

Substitute the expression for

y

from step 2 into the first equation: replace

y

2x + 5y = -4

with

3x - 11

to get

2x + 5(3x - 11) = -4

Simplify and solve the resulting equation for

x

. This will give you the value of

x

in terms of numbers.

Substitute the value of

x

back into the expression for

y

found in step 2 to find the corresponding value of

y

. This completes the solution to the system.

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