4x+y=210 and 3x+2y=195

Multiply first equations by - 2 to use elimination method.

-8x-2y=-420

3x+2y=195

-5x=-225

x=45

Plug this value of x in.

3 (45) + 2y=195

135+2y=195

2y=60

y=30

Final answer: (45,30)

Subsitution

4x+y=210

minus 4x both sides

y=210-4x

sub 210-4x for y in other equation

3x+2 (210-4x) = 195

3x+420-8x=195

-5x+420=195

minus 420 both sides

-5x=-225

divide both sides by - 5

x=45

sub back

y=210-4x

y=210-4 (45)

y=210-180

y=30

x=45

y=30

(x, y)

(45,30)