Question

Solve 2x + 3y = 11 and 2x – 4y = -24 and hence find the value of’m’ for which y = mx +3.
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Answer 1

Given equations are—

• 2x + 3y = 11 ------------(1)
• 2x – 4y = -24 ------------(2)

{ We will solve those equations by Substracting Method }

Now,

eq(1) - eq(2)

→ 2x + 3y - ( 2x - 4y ) = 11-(-24)

→ 2x + 3y - 2x + 4y = 11+24

→ 7y = 35

→ $\bold{\boxed{y\:\:=\:5}}$

† Putting the value of y in eq(1) , we get

→ 2x + 3 × 5 = 11

→ 2x + 15 = 11

→ 2x = 11 - 15

→ 2x = - 4

→ $\bold{\boxed{x\:\:=\:-2}}$

Hence ,

★ x = -2

★ y = 5

Again ,

• y = mx + 3

Substituting the values ,

☞ 5 = m× (-2) + 3

→ -2m = 2

→ $\bold{\boxed{m\:\:=\:\:-1}}$

Answer 2

Answer:

Given equations are—

2x + 3y = 11 ------------(1)

2x – 4y = -24 ------------(2)

{ We will solve those equations by Substracting Method }

Now,

eq(1) - eq(2)

→ 2x + 3y - ( 2x - 4y ) = 11-(-24)

→ 2x + 3y - 2x + 4y = 11+24

→ 7y = 35

→ \bold{\boxed{y\:\:=\:5}}

y=5

† Putting the value of y in eq(1) , we get

→ 2x + 3 × 5 = 11

→ 2x + 15 = 11

→ 2x = 11 - 15

→ 2x = - 4

→ \bold{\boxed{x\:\:=\:-2}}

x=−2

Hence ,

★ x = -2

★ y = 5

Again ,

• y = mx + 3

Substituting the values ,

☞ 5 = m× (-2) + 3

→ -2m = 2

→ \bold{\boxed{m\:\:=\:\:-1}}

m=−1

Step-by-step explanation:

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