SOLUTION: Solve the following 2 x 2 systems using substitutions 2x

SOLUTION: Solve the following 2 x 2 systems using substitutions 2x - 5y= 21 7x + 3y = 53

Question 72335: Solve the following 2 x 2 systems using substitutions
2x - 5y= 21
7x + 3y = 53
Answer by elima(1433) (Show Source): You can put this solution on YOUR website!
2x - 5y= 21
7x + 3y = 53
Lets start with changing the first equation to x equals;
2x=21+5y
x=+
now replace the x in the second equation;
7(+)+3y=53
Distribute the 7;
++3y=53
subtract from both sides and add like terms;
+3y=53-
get common denominators so you can add or subtract fractions;
+=-
y=
multiply each side by the reciprocal of ;
()y=()
y=-=-1
Now replace the y in the first equation with -1;
2x - 5(-1)= 21
2x+5=21
2x=16
x=8
so answer; y=-1, x=8
:)
RELATED QUESTIONS
Solve the following 2 x 2 systems using substitutions 3x - y = 5 6x + 5y... (answered by elima)

Solve the following 2 x 2 systems using substitutions y= 3x - 3 3x + 5y... (answered by elima)

Solve the following 2 x 2 systems using substitutions y= 2x +2 y= 1/2x +... (answered by elima)

Solve the following 2 x 2 systems using substitutions 2x + 7y =9 9x + 4y... (answered by checkley75)

Solve the folling 2 x 2 systems using substitutions y= 1/2x + 10 y= 5x... (answered by checkley75)

solve the following system of equations using substitutions 2x-3y=-2 and... (answered by mando271)

Solve the folling 2 x 2 systems using substitutions y= 3x + 12 y= -x... (answered by elima)

solve the following systems using the elimination method. Write your complete solutions. (answered by math_tutor2020,josgarithmetic)

solve the following systems using the elimination method. Write your complete solutions. (answered by josgarithmetic)