Question

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

Answer 1

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)

Answer 2

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)