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-3х – 10у = -20 -5x — бу = 20

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You can solve a system of equations by graphing

The solution of a system of linear equations is the intersection point both graphs

using a graphing tool

the solution is the point (-10,5)

so

x=-10

y=5

the solution is the intersection point both lines

I will solve the system by substitution

we have

-3х – 10у = -20 --------> equation A

-5x — бу = 20 --------> equation B

isolate the variable y in the equation A

10y=-3x+20

y=-0.3x+2 --------> equation C

substitute equation C in equation B

-5x-6(-0.3x+2)=20

solve for x

-5x+1.8x-12=20

-3.2x=20+12

-3.2x=32

x=-10

substitute the value of x in the equation C

y=-0.3x+2

y=-0.3(-10)+2

y=3+2

y=5

the solution is x=-10 and y=5

-3х – 10у = -20 -5x — бу = 20-example-1
User Henson
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