Question

Show graphically the system of equations 3x+2y=7;6x+4y=5 has no solution.​

Answer 1

Answer:

Step-by-step explanation:

No solution-a1/a2=b1/b2 not equal c1/c2

Answer 2

Answer:

3x+2y=7;6x+4y=5 has no solution proved.

Step-by-step explanation:

Explanation:

Given that, 3x + 2y = 7 and 6x + 4y = 5

• Linear equation - There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation.

• All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Step 1:

For equation 3x + 2y  = 7

On putting x = 0 than y = $\frac{7}{2}$ = 3.5

On putting y = 0 than x = $\frac{7}{3}$ = 2.33

So, the points are (0, 3.5) and (2.33, 0)

For equation, 6x + 4y = 5

On putting x = 0 than y = $\frac{5}{4}$ = 1.25

On putting y = 0 than x = $\frac{5}{6}$ = 0.8

Therefore, points are (0, 1.25), and (0.8, 0)

Now, we plot the points on the graph.

In the graph, we can see that  both the lines are parallel to each other.

And we know that,there are no solutions that hold for both equations if the equations' graphs do not intersect.

So, the given equation has no solution.

Final answer:

Hence, here we can show that the given equations have no solution.

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