Question

5x_3y=13and 2 x+3y=1

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Answer 1

Step-by-step explanation:

2x-3y=13;5x+3y=1

2x-3y=13;5x+3y=1 Solution :

2x-3y=13;5x+3y=1 Solution : {x,y} = {2,-3}

System of Linear Equations entered :

of Linear Equations entered : [1] 2x - 3y = 13

of Linear Equations entered : [1] 2x - 3y = 13 [2] 5x + 3y = 1

of Linear Equations entered : [1] 2x - 3y = 13 [2] 5x + 3y = 1Graphic Representation of the Equations :

of Linear Equations entered : [1] 2x - 3y = 13 [2] 5x + 3y = 1Graphic Representation of the Equations : -3y + 2x = 13 3y + 5x = 1

of Linear Equations entered : [1] 2x - 3y = 13 [2] 5x + 3y = 1Graphic Representation of the Equations : -3y + 2x = 13 3y + 5x = 1 Solve by Substitution :

of Linear Equations entered : [1] 2x - 3y = 13 [2] 5x + 3y = 1Graphic Representation of the Equations : -3y + 2x = 13 3y + 5x = 1 Solve by Substitution :// Solve equation [2] for the variable y

of Linear Equations entered : [1] 2x - 3y = 13 [2] 5x + 3y = 1Graphic Representation of the Equations : -3y + 2x = 13 3y + 5x = 1 Solve by Substitution :// Solve equation [2] for the variable y

[2] 3y = -5x + 1

2] 3y = -5x + 1 [2] y = -5x/3 + 1/3

2] 3y = -5x + 1 [2] y = -5x/3 + 1/3// Plug this in for variable y in equation [1]

2] 3y = -5x + 1 [2] y = -5x/3 + 1/3// Plug this in for variable y in equation [1] [1] 2x - 3•(-5x/3+1/3) = 13

2] 3y = -5x + 1 [2] y = -5x/3 + 1/3// Plug this in for variable y in equation [1] [1] 2x - 3•(-5x/3+1/3) = 13 [1] 7x = 14

2] 3y = -5x + 1 [2] y = -5x/3 + 1/3// Plug this in for variable y in equation [1] [1] 2x - 3•(-5x/3+1/3) = 13 [1] 7x = 14// Solve equation [1] for the variable x

[1] 7x = 14

[1] 7x = 14 [1] x = 2

[1] 7x = 14 [1] x = 2 // By now we know this much :

x = 2

= 2 y = -5x/3+1/3

= 2 y = -5x/3+1/3// Use the x value to solve for y

= 2 y = -5x/3+1/3// Use the x value to solve for y y = -(5/3)(2)+1/3 = -3

= 2 y = -5x/3+1/3// Use the x value to solve for y y = -(5/3)(2)+1/3 = -3 Solution :

= 2 y = -5x/3+1/3// Use the x value to solve for y y = -(5/3)(2)+1/3 = -3 Solution : {x,y} = {2,-3}

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Answer 2

$\large{\underline{\underline{\mathfrak{\green{\sf{Solution:-}}}}}}$.

$\large{\underline{\underline{\mathfrak{\sf{Given\:Here:-}}}}}$.

• $\:5x\:-\:3y\:=\:13$

• $\:2x\:+\:3y\:=\:1$

$\large{\underline{\underline{\mathfrak{\sf{Explanation:-}}}}}$.

• $\:5x\:-\:3y\:=\:13$.....(1)
• $\:2x\:+\:3y\:=\:1$...... (2)

Multiply by 2 ×(1) - 2×(2)

• $\:10x\:-\:6y\:=\:26$

• $\:10x\:+\:15y\:=\:5$

Subtract its ,

___________________________

$\implies\:-21y\:=\:21$

$\implies\:y\:=\frac{21}{-21}$

$\implies\boxed{\:y\:=\:1}$

Keep, value of y in (1)

$\implies\:5x\:-\:3\:×\:(-1)\:=\:13$

$\implies\:5x\:=\:-3\:+\:13$

$\implies\:5x\:=\:10$

$\implies\:x\:=\frac{10}{5}$

$\implies\boxed{\:x\:=\:2}$

$\large{\underline{\underline{\mathfrak{\sf{ANSWER:-}}}}}$.

• Value of $\:x\:=\:2$

• Value of $\:y\:=\:-1$

$\large{\underline{\underline{\mathfrak{\sf{Answer\:Checkup :-}}}}}$.

Keep value of x and y in equation (2)

$\implies\:2\:×\:2\:+\:3\:×\:-1\:=\:1$

$\implies\:4\:-\:3\:=\:1$

$\implies\:1\:=\:1$

That's satisfies