10a-294586b~~-2.35xx10^12 a = ? b = ?

figure a and b

See below:

Explanation:

Notice that this looks like the equation of a line in standard form:

$a x + b y = c$

Therefore, there are an infinite number of solutions, all of which lie along the resulting line. To get an idea as to what this line looks like, we can change the form to slope-intercept:

$- 294586 b = - 10 a - 2.35 \times {10}^{12}$

$b = \frac{10}{294586} a + \frac{2.35 \times {10}^{12}}{294586}$

This puts $b$, the $y$ intercept, at around 7977297 and the slope, $m$, is essentially flat:

graph{10/294596x+7977297[-20000000,20000000,-10000000,10000000]}

Let's also note that the original equation we're working with is

$10 a - 294586 b \approx - 2.35 \times {10}^{12}$

and so there will be not a thin line like what we have here, but a range of values that round to the $2.35 \times {10}^{12}$ figure, so any set of points between these two lines will be valid:

graph{(y-(10/294596x+7960324))(y-(10/294596x+7990875))=0[-20000000,20000000,7800000,8200000]}