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noname [10]
3 years ago
12

How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2 6x – 4y = –10

Mathematics
2 answers:
fgiga [73]3 years ago
7 0

Answer:

its c

Step-by-step explanation:

no solution

Ira Lisetskai [31]3 years ago
4 0

Answer:

The system has one solution

Step-by-step explanation:

we have the system of equations

y=\frac{2}{3}x+2 ----> equation A

6x-4y=-10 ----> equation B

Solve the system by substitution

substitute equation A in equation B

6x-4(\frac{2}{3}x+2)=-10

6x-\frac{8}{3}x-8=-10

Solve for x

Multiply by 3 both sides to remove the fraction

18x-8x-24=-30

Combine like terms

10x=-30+24

10x=-6

x=-\frac{6}{10}

Simplify

x=-\frac{3}{5}

<em>Find the value of y</em>

y=\frac{2}{3}(-\frac{3}{5})+2

y=-\frac{6}{15}+2

y=\frac{24}{15}

Simplify

y=\frac{8}{5}

The solution of the system is the point (-\frac{3}{5},\frac{8}{5})

therefore

The system has one solution

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