Question

solve the following pair of equation by substitution method 7 x minus 12 Y is equal to 2 X + 2 Y is equal to 3​

Answer 1

Step-by-step explanation:

Solve the following pair of equations by the elimination method and the substitution method:

3x−5y−4=0 and 9x=2y+7

Given equations are:

3x−5y−4=0...(1)

9x=2y+7...(2)

From eq(1)

3x−5y=4...(3)

From eq(2)

9x−2y=7...(4)

Elimination Method

Multiplying eq(3) by 3 and subtracting eq(4), we get:

⇒3(3x−5y)−1(9x−2y)=3×4−1×7

⇒9x−15y−9x+2y=12−7

⇒−13y=5

y=−

13

5

Now putting y in eq(3) will get

⇒3x−5(−

5

13

)=4

15x+25=52

65x=52−25

x=

65

27

x=

13

9

Hence x=

13

9

,y=−

13

5

Substitution Method

From eq(3) will get

⇒−5y=4−3x

⇒y=

5

−4+3x

Now substituting y in eq(4)

⇒9x−2(

5

−4+3x

)=7

⇒45x+8−6x=35

39x=27

x=

13

9

Now substituting x in eq(3)

⇒3(

13

9

)−5y=4

⇒27−65y=52

⇒−65y=52−27

⇒−65y=25

⇒y=−

65

25

⇒y=−

13

5

Hence x=

13

9

,y=−

13

5

Answer 2

Answer:

yes sir theres the answer at top :) he's my friend XD