The multipliers of this system of equations have been determined to create opposite terms of the x-variable. 8 (negative three-fourths x + four-fifths y = 14) right-arrow negative 6 x + StartFraction 32 Over 5 EndFraction y = 112. 3 (2 x + StartFraction 7 Over 10 EndFraction y = negative 9) right-arrow 6 x + StartFraction 21 Over 10 EndFraction y = negative 27 What is the value of y? –10 –8 8 10

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Answer:

The correct option is option (d)

The value of y is 10.

Step-by-step explanation:

Given equations are

[tex]8(-\frac 35x+\frac 45 y=14)[/tex]

[tex]\Rightarrow - 6x+\frac{32}{5} y=112[/tex]  .........(1)

[tex]3(2x+\frac{7}{10}y=-9)[/tex]

[tex]\Rightarrow 6x+\frac{21}{10}y=-21[/tex] .............(2)

Adding Equation (1) and (2)

[tex]- 6x+\frac{32}{5} y=112[/tex]

[tex]6x+\frac{21}{10}y=-21[/tex]

____________

[tex]\frac{32}{5}y+\frac{21}{10}y=112-21[/tex]

[tex]\Rightarrow \frac{64+21}{10}y=85[/tex]

[tex]\Rightarrow \frac{85}{10}y=85[/tex]

[tex]\Rightarrow y=\frac{85\times10 }{85}[/tex]

[tex]\Rightarrow y=10[/tex]

The value of y is 10.

Answer:

Its D, But i know im late bc you put this in 2020

Step-by-step explanation: