The acute angle between intersecting lines that do not cross at right angles is the same as the angle determined by vectors normal to the lines or vectors parallel to the lines. Use this fact and knowledge of orthogonal and parallel vectors to find the acute angle between the lines 2x - y = 3 and 3x + y = 7

The acute angle between the two lines is 45 degrees

Step-by-step explanation:

Here, we want to find the acute angles between two lines .

The lines are;

2x -y = 3 and 3x + y = 7

Please check attachment for the complete vector notations

35 more than 8 times a number
.Let that number be x
35 more than 8 times the number x is written as 35+8x
And 43 less than the product of -7 and the number is written as 43 - -7x
=43+7x
and from the question, the two equations are equal,so we just place the equal sign between the two expression and solve for X
Thus
35+8x=43+7x
Grouping of like terms
8x-7x = 43-35
X = 8 .