Which equation would be the easiest to solve first by using the substitution method? EXPLAIN WHY

Mathematics

1 answer:

Arlecino [84]2 years ago

6 0

Answer:

Equation 2: x - 2y = 1

Step-by-step explanation:

The equations easiest to use substitution are the ones that have the variable multiplied by one, as in the case of Eq. 2 where x is 1x, so if you substitute a zero for x, we know that y has to be -1/2 for the equation to be true. Furthermore, if you substitute a 0 for y you automatically know that x = 1.

If you try to substitute anything for x in equation 1, let's say x = 1, you still have to multipy by 3, then the rest of the problem would be more steps.

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Finding the slope in y- intercept form 2×+7y=21

astraxan [27]

To find the slope from an equation, solve the equation for y.
The equation will have the form y = mx + b, called the slope-intercept form.
Then m = slope.

Let's solve your equation for y.

$2x + 7y = 21$

Subtract 2x from both sides.

$7y = -2x + 21$

Divide both sides by 7.

$y = -\dfrac{2}{7} x + \dfrac{21}{7}$

$y = -\dfrac{2}{7} x + 3$

Now compare the equation above to y = mx + b.
m is the number that multiplies x, and it is the slope.

$m = -\dfrac{2}{7}$