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Chapter 8: Q37. (page 411)

Find the value of athat makes the ordered pair a solution of the equation.

4x-7y=19;-4,a

Short Answer

Expert verified

The value a=-5 would make the ordered pair (-4,a) a solution of the given equation.

Step by step solution

01

Step 1. Given Information.

An equation: 4x-7y=19 and the point: (-4,a)

02

Step 2. Calculation.

To find the value of a, we will substitute coordinates of given point in our given equation and solve for a as:

4x鈭�7y=19鈥勨赌勨赌勨赌勨赌勨赌�(Givenequation)4(鈭�4)鈭�7a=19Substitutingx=鈭�4andy=a鈭�16鈭�7a=19鈭�16+16鈭�7a=19+16鈥勨赌勨赌勨赌勨赌�Adding16onbothsides鈭�7a=35鈭�7a鈭�7=35鈭�7鈥勨赌�Dividingbothsidesby鈭�7a=鈭�5

Therefore, the value of a would be -5.

03

Step 3. Conclusion.

The value of a would be -5.

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