Respuesta :

Diatonic254

y = -3

x = 2

Step-by-step explanation:

We’ll solve the simultaneous equation by elimination method;

5x + 3y = 1

4x - 2y =14

We make eliminate one variable by making it similar on both equations so we end up with zero (0) in its subtraction. We focus on eliminating x;

4(5x + 3y = 1)

5(4x - 2y =14)

Therefore;

20x + 12y = 4

20x – 10y = 70

We begin elimination;

20x + 12y = 4

-

20x – 10y = 70

=

0x + 22y = -66

22y = -66

y = -66/22

y = - 3

We can evaluate x by replacing the value of y with -3 in one of the equations;

5x + 3y = 1

5x + 3(-3) = 1

5x – 9 = 1

5x = 1 + 9

5x = 10

X = 10/5

X = 2

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absor201

Value of x = 2

Value of y = -3

So, Solution set is (2,-3)

Step-by-step explanation:

We need to solve the system of equations:

[tex]5x + 3y = 1\\4x - 2y =14[/tex]

Let:

[tex]5x + 3y = 1\,\,\,eq(1)\\4x - 2y =14\,\,\,eq(2)[/tex]

Solving by Eliminating y to find value of x:

Multiply eq(1) by 2 and eq(2) by 3 and then add

[tex]10x+6y=2\\12x-6y=42\\-------\\22x=44\\x=\frac{44}{22}\\x=2[/tex]

So, value of x = 2

Now, putting value of x = 2 into equation(1)

[tex]5x+3y=1\\5(2)+3y=1\\10+3y=1\\3y=1-10\\3y=-9\\y=\frac{-9}{3} \\y=-3[/tex]

So, value of y = -3

So, Solution set is (2,-3)

Keywords: Solving system of equations

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