Solve the system of equations using substitution elimination

Solve the system of equations using substitution, elimination by addition, or augmented matrix methods (Show work)

7x+5y=4

5x-2y=14

Solve the system of equations using substitution, elimination by addition, or augmented matrix methods (Show work)

7x+5y=4

5x-2y=14

From equation 1

7x=4-5y

X=(4-5y)/7

Substitute in equation 2

5*(4-5y)/7 -2y =14

Multiplying both sides by 7,

20-25y-14y=98

-39y=78

Y=-2

Substitute y= -2 in equation 1

7x+5(-2)=4

7x-10=4

7x=14

X=2

Answer: x=2, y= -2