Answered

IDNStudy.com, ang iyong mapagkakatiwalaang mapagkukunan para sa maaasahang mga sagot. Magtanong at makatanggap ng maaasahang sagot mula sa aming dedikadong komunidad ng mga eksperto.

Solving system of linear equations in two variables algebraically substitution/elimination.
1.y=6+-11
-2×-3y=-7
2.y=5×-7
-3×-2y=-12
3.-4×+y=6
-5×-y=21


Sagot :

1. -2x-3y=-7
y=6+-11
-2x-3(6+-11)=-7
-2x-3(-5)=-7
-2x+15=-7
15+7=2x
22/2=2x/2
11=x
-2(11)-3y=-7
-22-3y=-7
-22+7=3y
-15/3=3y/3
-5=y

2. -3x-2y=-12
y=5x-7
-3x-2(5x-7)=-12
-3x-10x+14=-12
14+12=13x
26/13=13x/13
2=x
y=5(2)-7
y=10-7
y=3

3. -4x +y=6
-5x-y=21 ;-5x-21=y
-4x+(-5x-21)=6
-4x-5x-21=6
-9x=6+21
-27/9=9x/9
-3=x
-5(-3)-21=y
15-21=y
-6=y

1.) y=6+11
y=6-11
y=-5
-2x-3y=-7
-2x-3(-5)=-7
-2x+15=-7
-2x=-7-15
-2x=-22
-2x/-2=-22/-2
x=11
y=-5
(You can check it if it is truly correct or not. But, in Math, checking is just an option.)

2.) y=5x-7
    -3x-2y=-12
   -3x-2(5x-7)=-12
   -3x-10x+14=-12
    -13x + 14 =-12
   -13x=-12-14
   -13x =-26
    -13x/-13=-26/-13
        x = 2
        y=5x-7
       y=5(2)-7
     y=10-7
    y=3
So:
x=2 and y=3

3.) -4x + y=6
    -5x-y=21
-4x-6=-y
(-4x/-1)+(-6/-1)=-y/-1
4x+6=y

-5x-y=21
-5x-(4x+6)=21
-5x-4x-6=21
-9x-6=21
-9x=21+6
-9x=27
-9x/-9=27/-9
x=-3
-4x+y=6
-4(-3)+y=6
12+y=6
12-6=-6
y=-6
x=-3 and y=-6